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Finding the Fourth Proportional to 7,638.64, 11,456.52 and 2,708.17

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Solution

The fourth proportional to 7,638.64, 11,456.52 and 2,708.17 is: 4,061.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.64 : 11,456.52 = 2,708.17 : x
  2. Step 2: Convert to fraction form
    7,638.64/11,456.52 = 2,708.17/x
  3. Step 3: Cross multiply
    7,638.64x = 11,456.52 × 2,708.17
  4. Step 4: Simplify right side
    7,638.64x = 31,026,203.77
  5. Step 5: Solve for x
    x = 31,026,203.77/7,638.64
  6. Step 6: Final answer
    x = 4,061.74

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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.