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Finding the Fourth Proportional to 10,702.09, 16,053.20 and 3,776.59

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Solution

The fourth proportional to 10,702.09, 16,053.20 and 3,776.59 is: 5,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.09 : 16,053.20 = 3,776.59 : x
  2. Step 2: Convert to fraction form
    10,702.09/16,053.20 = 3,776.59/x
  3. Step 3: Cross multiply
    10,702.09x = 16,053.20 × 3,776.59
  4. Step 4: Simplify right side
    10,702.09x = 60,626,354.59
  5. Step 5: Solve for x
    x = 60,626,354.59/10,702.09
  6. Step 6: Final answer
    x = 5,664.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.