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Finding the Fourth Proportional to 10,133.66, 15,180.35 and 7,932.08

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Solution

The fourth proportional to 10,133.66, 15,180.35 and 7,932.08 is: 11,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.66 : 15,180.35 = 7,932.08 : x
  2. Step 2: Convert to fraction form
    10,133.66/15,180.35 = 7,932.08/x
  3. Step 3: Cross multiply
    10,133.66x = 15,180.35 × 7,932.08
  4. Step 4: Simplify right side
    10,133.66x = 120,411,748.92
  5. Step 5: Solve for x
    x = 120,411,748.92/10,133.66
  6. Step 6: Final answer
    x = 11,882.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.