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Finding the Fourth Proportional to 7,472.77, 10,306.53 and 4,638.54

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Solution

The fourth proportional to 7,472.77, 10,306.53 and 4,638.54 is: 6,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.77 : 10,306.53 = 4,638.54 : x
  2. Step 2: Convert to fraction form
    7,472.77/10,306.53 = 4,638.54/x
  3. Step 3: Cross multiply
    7,472.77x = 10,306.53 × 4,638.54
  4. Step 4: Simplify right side
    7,472.77x = 47,807,251.67
  5. Step 5: Solve for x
    x = 47,807,251.67/7,472.77
  6. Step 6: Final answer
    x = 6,397.53

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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.