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Finding the Fourth Proportional to 12,527.82, 17,288.57 and 6,862.44

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Solution

The fourth proportional to 12,527.82, 17,288.57 and 6,862.44 is: 9,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.82 : 17,288.57 = 6,862.44 : x
  2. Step 2: Convert to fraction form
    12,527.82/17,288.57 = 6,862.44/x
  3. Step 3: Cross multiply
    12,527.82x = 17,288.57 × 6,862.44
  4. Step 4: Simplify right side
    12,527.82x = 118,641,774.31
  5. Step 5: Solve for x
    x = 118,641,774.31/12,527.82
  6. Step 6: Final answer
    x = 9,470.26

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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.