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Finding the Fourth Proportional to 7,689.60, 11,534.16 and 2,759.52

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Solution

The fourth proportional to 7,689.60, 11,534.16 and 2,759.52 is: 4,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.60 : 11,534.16 = 2,759.52 : x
  2. Step 2: Convert to fraction form
    7,689.60/11,534.16 = 2,759.52/x
  3. Step 3: Cross multiply
    7,689.60x = 11,534.16 × 2,759.52
  4. Step 4: Simplify right side
    7,689.60x = 31,828,745.20
  5. Step 5: Solve for x
    x = 31,828,745.20/7,689.60
  6. Step 6: Final answer
    x = 4,139.19

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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.