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Finding the Fourth Proportional to 7,826.65, 10,803.72 and 5,177.68

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Solution

The fourth proportional to 7,826.65, 10,803.72 and 5,177.68 is: 7,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.65 : 10,803.72 = 5,177.68 : x
  2. Step 2: Convert to fraction form
    7,826.65/10,803.72 = 5,177.68/x
  3. Step 3: Cross multiply
    7,826.65x = 10,803.72 × 5,177.68
  4. Step 4: Simplify right side
    7,826.65x = 55,938,204.97
  5. Step 5: Solve for x
    x = 55,938,204.97/7,826.65
  6. Step 6: Final answer
    x = 7,147.15

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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.