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Finding the Fourth Proportional to 6,150.69, 8,488.31 and 4,656.24

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Solution

The fourth proportional to 6,150.69, 8,488.31 and 4,656.24 is: 6,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.69 : 8,488.31 = 4,656.24 : x
  2. Step 2: Convert to fraction form
    6,150.69/8,488.31 = 4,656.24/x
  3. Step 3: Cross multiply
    6,150.69x = 8,488.31 × 4,656.24
  4. Step 4: Simplify right side
    6,150.69x = 39,523,577.75
  5. Step 5: Solve for x
    x = 39,523,577.75/6,150.69
  6. Step 6: Final answer
    x = 6,425.88

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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.