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Finding the Fourth Proportional to 10,874.32, 15,005.05 and 6,400.49

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Solution

The fourth proportional to 10,874.32, 15,005.05 and 6,400.49 is: 8,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.32 : 15,005.05 = 6,400.49 : x
  2. Step 2: Convert to fraction form
    10,874.32/15,005.05 = 6,400.49/x
  3. Step 3: Cross multiply
    10,874.32x = 15,005.05 × 6,400.49
  4. Step 4: Simplify right side
    10,874.32x = 96,039,581.45
  5. Step 5: Solve for x
    x = 96,039,581.45/10,874.32
  6. Step 6: Final answer
    x = 8,831.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.