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Finding the Fourth Proportional to 7,569.76, 10,449.12 and 5,596.20

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Solution

The fourth proportional to 7,569.76, 10,449.12 and 5,596.20 is: 7,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.76 : 10,449.12 = 5,596.20 : x
  2. Step 2: Convert to fraction form
    7,569.76/10,449.12 = 5,596.20/x
  3. Step 3: Cross multiply
    7,569.76x = 10,449.12 × 5,596.20
  4. Step 4: Simplify right side
    7,569.76x = 58,475,365.34
  5. Step 5: Solve for x
    x = 58,475,365.34/7,569.76
  6. Step 6: Final answer
    x = 7,724.86

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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.