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Finding the Fourth Proportional to 10,224.64, 15,339.72 and 3,651.52

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Solution

The fourth proportional to 10,224.64, 15,339.72 and 3,651.52 is: 5,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.64 : 15,339.72 = 3,651.52 : x
  2. Step 2: Convert to fraction form
    10,224.64/15,339.72 = 3,651.52/x
  3. Step 3: Cross multiply
    10,224.64x = 15,339.72 × 3,651.52
  4. Step 4: Simplify right side
    10,224.64x = 56,013,294.37
  5. Step 5: Solve for x
    x = 56,013,294.37/10,224.64
  6. Step 6: Final answer
    x = 5,478.27

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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.