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Finding the Fourth Proportional to 7,626.32, 11,438 and 2,695.40

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Solution

The fourth proportional to 7,626.32, 11,438 and 2,695.40 is: 4,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626.32 : 11,438 = 2,695.40 : x
  2. Step 2: Convert to fraction form
    7,626.32/11,438 = 2,695.40/x
  3. Step 3: Cross multiply
    7,626.32x = 11,438 × 2,695.40
  4. Step 4: Simplify right side
    7,626.32x = 30,829,985.20
  5. Step 5: Solve for x
    x = 30,829,985.20/7,626.32
  6. Step 6: Final answer
    x = 4,042.58

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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.