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Finding the Fourth Proportional to 7,512.46, 10,377.04 and 5,765.64

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Solution

The fourth proportional to 7,512.46, 10,377.04 and 5,765.64 is: 7,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.46 : 10,377.04 = 5,765.64 : x
  2. Step 2: Convert to fraction form
    7,512.46/10,377.04 = 5,765.64/x
  3. Step 3: Cross multiply
    7,512.46x = 10,377.04 × 5,765.64
  4. Step 4: Simplify right side
    7,512.46x = 59,830,276.91
  5. Step 5: Solve for x
    x = 59,830,276.91/7,512.46
  6. Step 6: Final answer
    x = 7,964.14

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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.