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Finding the Fourth Proportional to 10,035.38, 15,039.04 and 8,546.86

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Solution

The fourth proportional to 10,035.38, 15,039.04 and 8,546.86 is: 12,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.38 : 15,039.04 = 8,546.86 : x
  2. Step 2: Convert to fraction form
    10,035.38/15,039.04 = 8,546.86/x
  3. Step 3: Cross multiply
    10,035.38x = 15,039.04 × 8,546.86
  4. Step 4: Simplify right side
    10,035.38x = 128,536,569.41
  5. Step 5: Solve for x
    x = 128,536,569.41/10,035.38
  6. Step 6: Final answer
    x = 12,808.34

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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.