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Finding the Fourth Proportional to 7,689.32, 11,527.34 and 3,069.32

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Solution

The fourth proportional to 7,689.32, 11,527.34 and 3,069.32 is: 4,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.32 : 11,527.34 = 3,069.32 : x
  2. Step 2: Convert to fraction form
    7,689.32/11,527.34 = 3,069.32/x
  3. Step 3: Cross multiply
    7,689.32x = 11,527.34 × 3,069.32
  4. Step 4: Simplify right side
    7,689.32x = 35,381,095.21
  5. Step 5: Solve for x
    x = 35,381,095.21/7,689.32
  6. Step 6: Final answer
    x = 4,601.33

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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.