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Finding the Fourth Proportional to 10,158.34, 15,200.57 and 8,386.87

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Solution

The fourth proportional to 10,158.34, 15,200.57 and 8,386.87 is: 12,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.34 : 15,200.57 = 8,386.87 : x
  2. Step 2: Convert to fraction form
    10,158.34/15,200.57 = 8,386.87/x
  3. Step 3: Cross multiply
    10,158.34x = 15,200.57 × 8,386.87
  4. Step 4: Simplify right side
    10,158.34x = 127,485,204.52
  5. Step 5: Solve for x
    x = 127,485,204.52/10,158.34
  6. Step 6: Final answer
    x = 12,549.81

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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.