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Finding the Fourth Proportional to 7,689.28, 10,612 and 4,707.10

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Solution

The fourth proportional to 7,689.28, 10,612 and 4,707.10 is: 6,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.28 : 10,612 = 4,707.10 : x
  2. Step 2: Convert to fraction form
    7,689.28/10,612 = 4,707.10/x
  3. Step 3: Cross multiply
    7,689.28x = 10,612 × 4,707.10
  4. Step 4: Simplify right side
    7,689.28x = 49,951,745.20
  5. Step 5: Solve for x
    x = 49,951,745.20/7,689.28
  6. Step 6: Final answer
    x = 6,496.28

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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.