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Finding the Fourth Proportional to 10,339.54, 15,511.64 and 3,765.78

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Solution

The fourth proportional to 10,339.54, 15,511.64 and 3,765.78 is: 5,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.54 : 15,511.64 = 3,765.78 : x
  2. Step 2: Convert to fraction form
    10,339.54/15,511.64 = 3,765.78/x
  3. Step 3: Cross multiply
    10,339.54x = 15,511.64 × 3,765.78
  4. Step 4: Simplify right side
    10,339.54x = 58,413,423.68
  5. Step 5: Solve for x
    x = 58,413,423.68/10,339.54
  6. Step 6: Final answer
    x = 5,649.52

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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.