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Finding the Fourth Proportional to 7,972.68, 11,002.92 and 4,437

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Solution

The fourth proportional to 7,972.68, 11,002.92 and 4,437 is: 6,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.68 : 11,002.92 = 4,437 : x
  2. Step 2: Convert to fraction form
    7,972.68/11,002.92 = 4,437/x
  3. Step 3: Cross multiply
    7,972.68x = 11,002.92 × 4,437
  4. Step 4: Simplify right side
    7,972.68x = 48,819,956.04
  5. Step 5: Solve for x
    x = 48,819,956.04/7,972.68
  6. Step 6: Final answer
    x = 6,123.41

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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.