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Finding the Fourth Proportional to 7,826.47, 10,797.13 and 5,177.57

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Solution

The fourth proportional to 7,826.47, 10,797.13 and 5,177.57 is: 7,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.47 : 10,797.13 = 5,177.57 : x
  2. Step 2: Convert to fraction form
    7,826.47/10,797.13 = 5,177.57/x
  3. Step 3: Cross multiply
    7,826.47x = 10,797.13 × 5,177.57
  4. Step 4: Simplify right side
    7,826.47x = 55,902,848.86
  5. Step 5: Solve for x
    x = 55,902,848.86/7,826.47
  6. Step 6: Final answer
    x = 7,142.79

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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.