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Finding the Fourth Proportional to 10,374.11, 15,561.12 and 8,284.31

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Solution

The fourth proportional to 10,374.11, 15,561.12 and 8,284.31 is: 12,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.11 : 15,561.12 = 8,284.31 : x
  2. Step 2: Convert to fraction form
    10,374.11/15,561.12 = 8,284.31/x
  3. Step 3: Cross multiply
    10,374.11x = 15,561.12 × 8,284.31
  4. Step 4: Simplify right side
    10,374.11x = 128,913,064.22
  5. Step 5: Solve for x
    x = 128,913,064.22/10,374.11
  6. Step 6: Final answer
    x = 12,426.43

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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.