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Finding the Fourth Proportional to 7,584.42, 10,470.63 and 5,239.18

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Solution

The fourth proportional to 7,584.42, 10,470.63 and 5,239.18 is: 7,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.42 : 10,470.63 = 5,239.18 : x
  2. Step 2: Convert to fraction form
    7,584.42/10,470.63 = 5,239.18/x
  3. Step 3: Cross multiply
    7,584.42x = 10,470.63 × 5,239.18
  4. Step 4: Simplify right side
    7,584.42x = 54,857,515.28
  5. Step 5: Solve for x
    x = 54,857,515.28/7,584.42
  6. Step 6: Final answer
    x = 7,232.92

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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.