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Finding the Fourth Proportional to 11,013.57, 15,191.15 and 9,191.53

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Solution

The fourth proportional to 11,013.57, 15,191.15 and 9,191.53 is: 12,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.57 : 15,191.15 = 9,191.53 : x
  2. Step 2: Convert to fraction form
    11,013.57/15,191.15 = 9,191.53/x
  3. Step 3: Cross multiply
    11,013.57x = 15,191.15 × 9,191.53
  4. Step 4: Simplify right side
    11,013.57x = 139,629,798.54
  5. Step 5: Solve for x
    x = 139,629,798.54/11,013.57
  6. Step 6: Final answer
    x = 12,677.98

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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.