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Finding the Fourth Proportional to 11,295.92, 15,589.47 and 6,261.78

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Solution

The fourth proportional to 11,295.92, 15,589.47 and 6,261.78 is: 8,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295.92 : 15,589.47 = 6,261.78 : x
  2. Step 2: Convert to fraction form
    11,295.92/15,589.47 = 6,261.78/x
  3. Step 3: Cross multiply
    11,295.92x = 15,589.47 × 6,261.78
  4. Step 4: Simplify right side
    11,295.92x = 97,617,831.46
  5. Step 5: Solve for x
    x = 97,617,831.46/11,295.92
  6. Step 6: Final answer
    x = 8,641.87

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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.