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Finding the Fourth Proportional to 7,247.68, 10,007.45 and 5,566.42

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Solution

The fourth proportional to 7,247.68, 10,007.45 and 5,566.42 is: 7,686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.68 : 10,007.45 = 5,566.42 : x
  2. Step 2: Convert to fraction form
    7,247.68/10,007.45 = 5,566.42/x
  3. Step 3: Cross multiply
    7,247.68x = 10,007.45 × 5,566.42
  4. Step 4: Simplify right side
    7,247.68x = 55,705,675.38
  5. Step 5: Solve for x
    x = 55,705,675.38/7,247.68
  6. Step 6: Final answer
    x = 7,686.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.