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Finding the Fourth Proportional to 10,472.56, 15,707.56 and 3,897

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Solution

The fourth proportional to 10,472.56, 15,707.56 and 3,897 is: 5,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.56 : 15,707.56 = 3,897 : x
  2. Step 2: Convert to fraction form
    10,472.56/15,707.56 = 3,897/x
  3. Step 3: Cross multiply
    10,472.56x = 15,707.56 × 3,897
  4. Step 4: Simplify right side
    10,472.56x = 61,212,361.32
  5. Step 5: Solve for x
    x = 61,212,361.32/10,472.56
  6. Step 6: Final answer
    x = 5,845.02

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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.