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Finding the Fourth Proportional to 10,043.38, 15,068.31 and 8,416.90

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Solution

The fourth proportional to 10,043.38, 15,068.31 and 8,416.90 is: 12,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.38 : 15,068.31 = 8,416.90 : x
  2. Step 2: Convert to fraction form
    10,043.38/15,068.31 = 8,416.90/x
  3. Step 3: Cross multiply
    10,043.38x = 15,068.31 × 8,416.90
  4. Step 4: Simplify right side
    10,043.38x = 126,828,458.44
  5. Step 5: Solve for x
    x = 126,828,458.44/10,043.38
  6. Step 6: Final answer
    x = 12,628.07

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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.