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Finding the Fourth Proportional to 10,883.70, 16,325.55 and 7,712.55

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Solution

The fourth proportional to 10,883.70, 16,325.55 and 7,712.55 is: 11,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.70 : 16,325.55 = 7,712.55 : x
  2. Step 2: Convert to fraction form
    10,883.70/16,325.55 = 7,712.55/x
  3. Step 3: Cross multiply
    10,883.70x = 16,325.55 × 7,712.55
  4. Step 4: Simplify right side
    10,883.70x = 125,911,620.65
  5. Step 5: Solve for x
    x = 125,911,620.65/10,883.70
  6. Step 6: Final answer
    x = 11,568.83

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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.