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Finding the Fourth Proportional to 10,991.37, 15,165.86 and 6,513.15

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Solution

The fourth proportional to 10,991.37, 15,165.86 and 6,513.15 is: 8,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.37 : 15,165.86 = 6,513.15 : x
  2. Step 2: Convert to fraction form
    10,991.37/15,165.86 = 6,513.15/x
  3. Step 3: Cross multiply
    10,991.37x = 15,165.86 × 6,513.15
  4. Step 4: Simplify right side
    10,991.37x = 98,777,488.49
  5. Step 5: Solve for x
    x = 98,777,488.49/10,991.37
  6. Step 6: Final answer
    x = 8,986.82

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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.