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Finding the Fourth Proportional to 10,380.76, 15,585.72 and 5,318.58

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Solution

The fourth proportional to 10,380.76, 15,585.72 and 5,318.58 is: 7,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.76 : 15,585.72 = 5,318.58 : x
  2. Step 2: Convert to fraction form
    10,380.76/15,585.72 = 5,318.58/x
  3. Step 3: Cross multiply
    10,380.76x = 15,585.72 × 5,318.58
  4. Step 4: Simplify right side
    10,380.76x = 82,893,898.68
  5. Step 5: Solve for x
    x = 82,893,898.68/10,380.76
  6. Step 6: Final answer
    x = 7,985.34

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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.