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Finding the Fourth Proportional to 8,147.70, 11,242.72 and 4,788.52

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Solution

The fourth proportional to 8,147.70, 11,242.72 and 4,788.52 is: 6,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.70 : 11,242.72 = 4,788.52 : x
  2. Step 2: Convert to fraction form
    8,147.70/11,242.72 = 4,788.52/x
  3. Step 3: Cross multiply
    8,147.70x = 11,242.72 × 4,788.52
  4. Step 4: Simplify right side
    8,147.70x = 53,835,989.57
  5. Step 5: Solve for x
    x = 53,835,989.57/8,147.70
  6. Step 6: Final answer
    x = 6,607.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.