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Finding the Fourth Proportional to 10,424.54, 15,639.14 and 4,874.86

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Solution

The fourth proportional to 10,424.54, 15,639.14 and 4,874.86 is: 7,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.54 : 15,639.14 = 4,874.86 : x
  2. Step 2: Convert to fraction form
    10,424.54/15,639.14 = 4,874.86/x
  3. Step 3: Cross multiply
    10,424.54x = 15,639.14 × 4,874.86
  4. Step 4: Simplify right side
    10,424.54x = 76,238,515.45
  5. Step 5: Solve for x
    x = 76,238,515.45/10,424.54
  6. Step 6: Final answer
    x = 7,313.37

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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.