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Finding the Fourth Proportional to 10,702.85, 14,760.90 and 8,045.66

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Solution

The fourth proportional to 10,702.85, 14,760.90 and 8,045.66 is: 11,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.85 : 14,760.90 = 8,045.66 : x
  2. Step 2: Convert to fraction form
    10,702.85/14,760.90 = 8,045.66/x
  3. Step 3: Cross multiply
    10,702.85x = 14,760.90 × 8,045.66
  4. Step 4: Simplify right side
    10,702.85x = 118,761,182.69
  5. Step 5: Solve for x
    x = 118,761,182.69/10,702.85
  6. Step 6: Final answer
    x = 11,096.22

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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.