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Finding the Fourth Proportional to 10,702.67, 16,037.15 and 5,073.89

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Solution

The fourth proportional to 10,702.67, 16,037.15 and 5,073.89 is: 7,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.67 : 16,037.15 = 5,073.89 : x
  2. Step 2: Convert to fraction form
    10,702.67/16,037.15 = 5,073.89/x
  3. Step 3: Cross multiply
    10,702.67x = 16,037.15 × 5,073.89
  4. Step 4: Simplify right side
    10,702.67x = 81,370,629.46
  5. Step 5: Solve for x
    x = 81,370,629.46/10,702.67
  6. Step 6: Final answer
    x = 7,602.84

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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.