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Finding the Fourth Proportional to 7,847.52, 10,829.28 and 4,310.52

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Solution

The fourth proportional to 7,847.52, 10,829.28 and 4,310.52 is: 5,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.52 : 10,829.28 = 4,310.52 : x
  2. Step 2: Convert to fraction form
    7,847.52/10,829.28 = 4,310.52/x
  3. Step 3: Cross multiply
    7,847.52x = 10,829.28 × 4,310.52
  4. Step 4: Simplify right side
    7,847.52x = 46,679,773.88
  5. Step 5: Solve for x
    x = 46,679,773.88/7,847.52
  6. Step 6: Final answer
    x = 5,948.35

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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.