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Finding the Fourth Proportional to 7,863.67, 10,840.13 and 5,206.47

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Solution

The fourth proportional to 7,863.67, 10,840.13 and 5,206.47 is: 7,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.67 : 10,840.13 = 5,206.47 : x
  2. Step 2: Convert to fraction form
    7,863.67/10,840.13 = 5,206.47/x
  3. Step 3: Cross multiply
    7,863.67x = 10,840.13 × 5,206.47
  4. Step 4: Simplify right side
    7,863.67x = 56,438,731.41
  5. Step 5: Solve for x
    x = 56,438,731.41/7,863.67
  6. Step 6: Final answer
    x = 7,177.15

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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.