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Finding the Fourth Proportional to 5,124.76, 7,693.22 and 4,313.14

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Solution

The fourth proportional to 5,124.76, 7,693.22 and 4,313.14 is: 6,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.76 : 7,693.22 = 4,313.14 : x
  2. Step 2: Convert to fraction form
    5,124.76/7,693.22 = 4,313.14/x
  3. Step 3: Cross multiply
    5,124.76x = 7,693.22 × 4,313.14
  4. Step 4: Simplify right side
    5,124.76x = 33,181,934.91
  5. Step 5: Solve for x
    x = 33,181,934.91/5,124.76
  6. Step 6: Final answer
    x = 6,474.83

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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.