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Finding the Fourth Proportional to 8,693.86, 11,995.68 and 5,158.22

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Solution

The fourth proportional to 8,693.86, 11,995.68 and 5,158.22 is: 7,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.86 : 11,995.68 = 5,158.22 : x
  2. Step 2: Convert to fraction form
    8,693.86/11,995.68 = 5,158.22/x
  3. Step 3: Cross multiply
    8,693.86x = 11,995.68 × 5,158.22
  4. Step 4: Simplify right side
    8,693.86x = 61,876,356.49
  5. Step 5: Solve for x
    x = 61,876,356.49/8,693.86
  6. Step 6: Final answer
    x = 7,117.25

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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.