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Finding the Fourth Proportional to 10,306.82, 15,462.63 and 4,384.04

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Solution

The fourth proportional to 10,306.82, 15,462.63 and 4,384.04 is: 6,577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.82 : 15,462.63 = 4,384.04 : x
  2. Step 2: Convert to fraction form
    10,306.82/15,462.63 = 4,384.04/x
  3. Step 3: Cross multiply
    10,306.82x = 15,462.63 × 4,384.04
  4. Step 4: Simplify right side
    10,306.82x = 67,788,711.11
  5. Step 5: Solve for x
    x = 67,788,711.11/10,306.82
  6. Step 6: Final answer
    x = 6,577.07

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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.