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Finding the Fourth Proportional to 10,646.30, 15,972.32 and 4,072.70

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Solution

The fourth proportional to 10,646.30, 15,972.32 and 4,072.70 is: 6,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.30 : 15,972.32 = 4,072.70 : x
  2. Step 2: Convert to fraction form
    10,646.30/15,972.32 = 4,072.70/x
  3. Step 3: Cross multiply
    10,646.30x = 15,972.32 × 4,072.70
  4. Step 4: Simplify right side
    10,646.30x = 65,050,397.98
  5. Step 5: Solve for x
    x = 65,050,397.98/10,646.30
  6. Step 6: Final answer
    x = 6,110.14

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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.