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Finding the Fourth Proportional to 10,981.59, 15,154.59 and 5,945.86

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Solution

The fourth proportional to 10,981.59, 15,154.59 and 5,945.86 is: 8,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.59 : 15,154.59 = 5,945.86 : x
  2. Step 2: Convert to fraction form
    10,981.59/15,154.59 = 5,945.86/x
  3. Step 3: Cross multiply
    10,981.59x = 15,154.59 × 5,945.86
  4. Step 4: Simplify right side
    10,981.59x = 90,107,026.49
  5. Step 5: Solve for x
    x = 90,107,026.49/10,981.59
  6. Step 6: Final answer
    x = 8,205.28

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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.