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Finding the Fourth Proportional to 7,654.42, 11,470.67 and 4,360.71

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Solution

The fourth proportional to 7,654.42, 11,470.67 and 4,360.71 is: 6,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.42 : 11,470.67 = 4,360.71 : x
  2. Step 2: Convert to fraction form
    7,654.42/11,470.67 = 4,360.71/x
  3. Step 3: Cross multiply
    7,654.42x = 11,470.67 × 4,360.71
  4. Step 4: Simplify right side
    7,654.42x = 50,020,265.38
  5. Step 5: Solve for x
    x = 50,020,265.38/7,654.42
  6. Step 6: Final answer
    x = 6,534.82

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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.