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Finding the Fourth Proportional to 10,156.34, 15,197.57 and 8,384.87

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Solution

The fourth proportional to 10,156.34, 15,197.57 and 8,384.87 is: 12,546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.34 : 15,197.57 = 8,384.87 : x
  2. Step 2: Convert to fraction form
    10,156.34/15,197.57 = 8,384.87/x
  3. Step 3: Cross multiply
    10,156.34x = 15,197.57 × 8,384.87
  4. Step 4: Simplify right side
    10,156.34x = 127,429,637.96
  5. Step 5: Solve for x
    x = 127,429,637.96/10,156.34
  6. Step 6: Final answer
    x = 12,546.81

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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.