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Finding the Fourth Proportional to 12,527.85, 17,288.27 and 6,862.71

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Solution

The fourth proportional to 12,527.85, 17,288.27 and 6,862.71 is: 9,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.85 : 17,288.27 = 6,862.71 : x
  2. Step 2: Convert to fraction form
    12,527.85/17,288.27 = 6,862.71/x
  3. Step 3: Cross multiply
    12,527.85x = 17,288.27 × 6,862.71
  4. Step 4: Simplify right side
    12,527.85x = 118,644,383.41
  5. Step 5: Solve for x
    x = 118,644,383.41/12,527.85
  6. Step 6: Final answer
    x = 9,470.45

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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.