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Finding the Fourth Proportional to 7,560.57, 10,432.79 and 4,202.84

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Solution

The fourth proportional to 7,560.57, 10,432.79 and 4,202.84 is: 5,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.57 : 10,432.79 = 4,202.84 : x
  2. Step 2: Convert to fraction form
    7,560.57/10,432.79 = 4,202.84/x
  3. Step 3: Cross multiply
    7,560.57x = 10,432.79 × 4,202.84
  4. Step 4: Simplify right side
    7,560.57x = 43,847,303.36
  5. Step 5: Solve for x
    x = 43,847,303.36/7,560.57
  6. Step 6: Final answer
    x = 5,799.47

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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.