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Finding the Fourth Proportional to 7,686.10, 11,529.15 and 7,005.70

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Solution

The fourth proportional to 7,686.10, 11,529.15 and 7,005.70 is: 10,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.10 : 11,529.15 = 7,005.70 : x
  2. Step 2: Convert to fraction form
    7,686.10/11,529.15 = 7,005.70/x
  3. Step 3: Cross multiply
    7,686.10x = 11,529.15 × 7,005.70
  4. Step 4: Simplify right side
    7,686.10x = 80,769,766.16
  5. Step 5: Solve for x
    x = 80,769,766.16/7,686.10
  6. Step 6: Final answer
    x = 10,508.55

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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.