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Finding the Fourth Proportional to 8,278.65, 12,389.32 and 5,114.79

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Solution

The fourth proportional to 8,278.65, 12,389.32 and 5,114.79 is: 7,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.65 : 12,389.32 = 5,114.79 : x
  2. Step 2: Convert to fraction form
    8,278.65/12,389.32 = 5,114.79/x
  3. Step 3: Cross multiply
    8,278.65x = 12,389.32 × 5,114.79
  4. Step 4: Simplify right side
    8,278.65x = 63,368,708.10
  5. Step 5: Solve for x
    x = 63,368,708.10/8,278.65
  6. Step 6: Final answer
    x = 7,654.48

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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.