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Finding the Fourth Proportional to 7,159.32, 10,740.54 and 2,942.60

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Solution

The fourth proportional to 7,159.32, 10,740.54 and 2,942.60 is: 4,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.32 : 10,740.54 = 2,942.60 : x
  2. Step 2: Convert to fraction form
    7,159.32/10,740.54 = 2,942.60/x
  3. Step 3: Cross multiply
    7,159.32x = 10,740.54 × 2,942.60
  4. Step 4: Simplify right side
    7,159.32x = 31,605,139.86
  5. Step 5: Solve for x
    x = 31,605,139.86/7,159.32
  6. Step 6: Final answer
    x = 4,414.54

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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.