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Finding the Fourth Proportional to 10,702.31, 14,773.12 and 8,045.10

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Solution

The fourth proportional to 10,702.31, 14,773.12 and 8,045.10 is: 11,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.31 : 14,773.12 = 8,045.10 : x
  2. Step 2: Convert to fraction form
    10,702.31/14,773.12 = 8,045.10/x
  3. Step 3: Cross multiply
    10,702.31x = 14,773.12 × 8,045.10
  4. Step 4: Simplify right side
    10,702.31x = 118,851,207.60
  5. Step 5: Solve for x
    x = 118,851,207.60/10,702.31
  6. Step 6: Final answer
    x = 11,105.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.