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Finding the Fourth Proportional to 10,586.42, 15,871.15 and 5,318.58

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Solution

The fourth proportional to 10,586.42, 15,871.15 and 5,318.58 is: 7,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.42 : 15,871.15 = 5,318.58 : x
  2. Step 2: Convert to fraction form
    10,586.42/15,871.15 = 5,318.58/x
  3. Step 3: Cross multiply
    10,586.42x = 15,871.15 × 5,318.58
  4. Step 4: Simplify right side
    10,586.42x = 84,411,980.97
  5. Step 5: Solve for x
    x = 84,411,980.97/10,586.42
  6. Step 6: Final answer
    x = 7,973.61

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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.