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Finding the Fourth Proportional to 8,173.86, 11,291.31 and 7,870.41

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Solution

The fourth proportional to 8,173.86, 11,291.31 and 7,870.41 is: 10,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.86 : 11,291.31 = 7,870.41 : x
  2. Step 2: Convert to fraction form
    8,173.86/11,291.31 = 7,870.41/x
  3. Step 3: Cross multiply
    8,173.86x = 11,291.31 × 7,870.41
  4. Step 4: Simplify right side
    8,173.86x = 88,867,239.14
  5. Step 5: Solve for x
    x = 88,867,239.14/8,173.86
  6. Step 6: Final answer
    x = 10,872.13

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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.