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Finding the Fourth Proportional to 10,702.35, 14,760.21 and 8,045.16

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Solution

The fourth proportional to 10,702.35, 14,760.21 and 8,045.16 is: 11,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.35 : 14,760.21 = 8,045.16 : x
  2. Step 2: Convert to fraction form
    10,702.35/14,760.21 = 8,045.16/x
  3. Step 3: Cross multiply
    10,702.35x = 14,760.21 × 8,045.16
  4. Step 4: Simplify right side
    10,702.35x = 118,748,251.08
  5. Step 5: Solve for x
    x = 118,748,251.08/10,702.35
  6. Step 6: Final answer
    x = 11,095.53

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