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Finding the Fourth Proportional to 8,126.16, 12,187.36 and 2,578.47

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Solution

The fourth proportional to 8,126.16, 12,187.36 and 2,578.47 is: 3,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.16 : 12,187.36 = 2,578.47 : x
  2. Step 2: Convert to fraction form
    8,126.16/12,187.36 = 2,578.47/x
  3. Step 3: Cross multiply
    8,126.16x = 12,187.36 × 2,578.47
  4. Step 4: Simplify right side
    8,126.16x = 31,424,699.66
  5. Step 5: Solve for x
    x = 31,424,699.66/8,126.16
  6. Step 6: Final answer
    x = 3,867.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.