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Finding the Fourth Proportional to 10,932.83, 15,077.39 and 7,154.78

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Solution

The fourth proportional to 10,932.83, 15,077.39 and 7,154.78 is: 9,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.83 : 15,077.39 = 7,154.78 : x
  2. Step 2: Convert to fraction form
    10,932.83/15,077.39 = 7,154.78/x
  3. Step 3: Cross multiply
    10,932.83x = 15,077.39 × 7,154.78
  4. Step 4: Simplify right side
    10,932.83x = 107,875,464.00
  5. Step 5: Solve for x
    x = 107,875,464.00/10,932.83
  6. Step 6: Final answer
    x = 9,867.12

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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.