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Finding the Fourth Proportional to 6,400.47, 8,824.68 and 5,339.78

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Solution

The fourth proportional to 6,400.47, 8,824.68 and 5,339.78 is: 7,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.47 : 8,824.68 = 5,339.78 : x
  2. Step 2: Convert to fraction form
    6,400.47/8,824.68 = 5,339.78/x
  3. Step 3: Cross multiply
    6,400.47x = 8,824.68 × 5,339.78
  4. Step 4: Simplify right side
    6,400.47x = 47,121,805.65
  5. Step 5: Solve for x
    x = 47,121,805.65/6,400.47
  6. Step 6: Final answer
    x = 7,362.24

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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.