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Finding the Fourth Proportional to 7,752.10, 11,627.34 and 4,052.83

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Solution

The fourth proportional to 7,752.10, 11,627.34 and 4,052.83 is: 6,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.10 : 11,627.34 = 4,052.83 : x
  2. Step 2: Convert to fraction form
    7,752.10/11,627.34 = 4,052.83/x
  3. Step 3: Cross multiply
    7,752.10x = 11,627.34 × 4,052.83
  4. Step 4: Simplify right side
    7,752.10x = 47,123,632.37
  5. Step 5: Solve for x
    x = 47,123,632.37/7,752.10
  6. Step 6: Final answer
    x = 6,078.82

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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.