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Finding the Fourth Proportional to 11,097.67, 15,315.23 and 6,381.95

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Solution

The fourth proportional to 11,097.67, 15,315.23 and 6,381.95 is: 8,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.67 : 15,315.23 = 6,381.95 : x
  2. Step 2: Convert to fraction form
    11,097.67/15,315.23 = 6,381.95/x
  3. Step 3: Cross multiply
    11,097.67x = 15,315.23 × 6,381.95
  4. Step 4: Simplify right side
    11,097.67x = 97,741,020.93
  5. Step 5: Solve for x
    x = 97,741,020.93/11,097.67
  6. Step 6: Final answer
    x = 8,807.35

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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.