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Finding the Fourth Proportional to 10,178.64, 15,254.91 and 8,856.90

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Solution

The fourth proportional to 10,178.64, 15,254.91 and 8,856.90 is: 13,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.64 : 15,254.91 = 8,856.90 : x
  2. Step 2: Convert to fraction form
    10,178.64/15,254.91 = 8,856.90/x
  3. Step 3: Cross multiply
    10,178.64x = 15,254.91 × 8,856.90
  4. Step 4: Simplify right side
    10,178.64x = 135,111,212.38
  5. Step 5: Solve for x
    x = 135,111,212.38/10,178.64
  6. Step 6: Final answer
    x = 13,273.99

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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.