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Finding the Fourth Proportional to 10,238.40, 15,357.32 and 8,291.84

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Solution

The fourth proportional to 10,238.40, 15,357.32 and 8,291.84 is: 12,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.40 : 15,357.32 = 8,291.84 : x
  2. Step 2: Convert to fraction form
    10,238.40/15,357.32 = 8,291.84/x
  3. Step 3: Cross multiply
    10,238.40x = 15,357.32 × 8,291.84
  4. Step 4: Simplify right side
    10,238.40x = 127,340,440.27
  5. Step 5: Solve for x
    x = 127,340,440.27/10,238.40
  6. Step 6: Final answer
    x = 12,437.53

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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.