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Finding the Fourth Proportional to 12,743.88, 17,587.50 and 7,708.28

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Solution

The fourth proportional to 12,743.88, 17,587.50 and 7,708.28 is: 10,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.88 : 17,587.50 = 7,708.28 : x
  2. Step 2: Convert to fraction form
    12,743.88/17,587.50 = 7,708.28/x
  3. Step 3: Cross multiply
    12,743.88x = 17,587.50 × 7,708.28
  4. Step 4: Simplify right side
    12,743.88x = 135,569,374.50
  5. Step 5: Solve for x
    x = 135,569,374.50/12,743.88
  6. Step 6: Final answer
    x = 10,638.00

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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.