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Finding the Fourth Proportional to 10,986.36, 15,162.11 and 6,207.19

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Solution

The fourth proportional to 10,986.36, 15,162.11 and 6,207.19 is: 8,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.36 : 15,162.11 = 6,207.19 : x
  2. Step 2: Convert to fraction form
    10,986.36/15,162.11 = 6,207.19/x
  3. Step 3: Cross multiply
    10,986.36x = 15,162.11 × 6,207.19
  4. Step 4: Simplify right side
    10,986.36x = 94,114,058.39
  5. Step 5: Solve for x
    x = 94,114,058.39/10,986.36
  6. Step 6: Final answer
    x = 8,566.45

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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.