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Finding the Fourth Proportional to 11,180.81, 15,432.76 and 7,454.81

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Solution

The fourth proportional to 11,180.81, 15,432.76 and 7,454.81 is: 10,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.81 : 15,432.76 = 7,454.81 : x
  2. Step 2: Convert to fraction form
    11,180.81/15,432.76 = 7,454.81/x
  3. Step 3: Cross multiply
    11,180.81x = 15,432.76 × 7,454.81
  4. Step 4: Simplify right side
    11,180.81x = 115,048,341.48
  5. Step 5: Solve for x
    x = 115,048,341.48/11,180.81
  6. Step 6: Final answer
    x = 10,289.80

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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.