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Finding the Fourth Proportional to 7,564.32, 10,432.80 and 5,205.60

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Solution

The fourth proportional to 7,564.32, 10,432.80 and 5,205.60 is: 7,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.32 : 10,432.80 = 5,205.60 : x
  2. Step 2: Convert to fraction form
    7,564.32/10,432.80 = 5,205.60/x
  3. Step 3: Cross multiply
    7,564.32x = 10,432.80 × 5,205.60
  4. Step 4: Simplify right side
    7,564.32x = 54,308,983.68
  5. Step 5: Solve for x
    x = 54,308,983.68/7,564.32
  6. Step 6: Final answer
    x = 7,179.63

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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.