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Finding the Fourth Proportional to 7,801.74, 10,758.22 and 5,145.76

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Solution

The fourth proportional to 7,801.74, 10,758.22 and 5,145.76 is: 7,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.74 : 10,758.22 = 5,145.76 : x
  2. Step 2: Convert to fraction form
    7,801.74/10,758.22 = 5,145.76/x
  3. Step 3: Cross multiply
    7,801.74x = 10,758.22 × 5,145.76
  4. Step 4: Simplify right side
    7,801.74x = 55,359,218.15
  5. Step 5: Solve for x
    x = 55,359,218.15/7,801.74
  6. Step 6: Final answer
    x = 7,095.75

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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.