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Finding the Fourth Proportional to 11,097.60, 15,314.40 and 6,381.60

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Solution

The fourth proportional to 11,097.60, 15,314.40 and 6,381.60 is: 8,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.60 : 15,314.40 = 6,381.60 : x
  2. Step 2: Convert to fraction form
    11,097.60/15,314.40 = 6,381.60/x
  3. Step 3: Cross multiply
    11,097.60x = 15,314.40 × 6,381.60
  4. Step 4: Simplify right side
    11,097.60x = 97,730,375.04
  5. Step 5: Solve for x
    x = 97,730,375.04/11,097.60
  6. Step 6: Final answer
    x = 8,806.44

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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.