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Finding the Fourth Proportional to 7,924.01, 11,872.65 and 5,146.52

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Solution

The fourth proportional to 7,924.01, 11,872.65 and 5,146.52 is: 7,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.01 : 11,872.65 = 5,146.52 : x
  2. Step 2: Convert to fraction form
    7,924.01/11,872.65 = 5,146.52/x
  3. Step 3: Cross multiply
    7,924.01x = 11,872.65 × 5,146.52
  4. Step 4: Simplify right side
    7,924.01x = 61,102,830.68
  5. Step 5: Solve for x
    x = 61,102,830.68/7,924.01
  6. Step 6: Final answer
    x = 7,711.10

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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.