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Finding the Fourth Proportional to 10,424.10, 15,619.68 and 8,357.52

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Solution

The fourth proportional to 10,424.10, 15,619.68 and 8,357.52 is: 12,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.10 : 15,619.68 = 8,357.52 : x
  2. Step 2: Convert to fraction form
    10,424.10/15,619.68 = 8,357.52/x
  3. Step 3: Cross multiply
    10,424.10x = 15,619.68 × 8,357.52
  4. Step 4: Simplify right side
    10,424.10x = 130,541,787.99
  5. Step 5: Solve for x
    x = 130,541,787.99/10,424.10
  6. Step 6: Final answer
    x = 12,523.08

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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.