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Finding the Fourth Proportional to 7,730.40, 11,569.68 and 7,626.72

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Solution

The fourth proportional to 7,730.40, 11,569.68 and 7,626.72 is: 11,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.40 : 11,569.68 = 7,626.72 : x
  2. Step 2: Convert to fraction form
    7,730.40/11,569.68 = 7,626.72/x
  3. Step 3: Cross multiply
    7,730.40x = 11,569.68 × 7,626.72
  4. Step 4: Simplify right side
    7,730.40x = 88,238,709.85
  5. Step 5: Solve for x
    x = 88,238,709.85/7,730.40
  6. Step 6: Final answer
    x = 11,414.51

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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.