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Finding the Fourth Proportional to 10,878.60, 16,330.05 and 8,424.30

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Solution

The fourth proportional to 10,878.60, 16,330.05 and 8,424.30 is: 12,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.60 : 16,330.05 = 8,424.30 : x
  2. Step 2: Convert to fraction form
    10,878.60/16,330.05 = 8,424.30/x
  3. Step 3: Cross multiply
    10,878.60x = 16,330.05 × 8,424.30
  4. Step 4: Simplify right side
    10,878.60x = 137,569,240.22
  5. Step 5: Solve for x
    x = 137,569,240.22/10,878.60
  6. Step 6: Final answer
    x = 12,645.86

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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.