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Finding the Fourth Proportional to 11,097.53, 15,314.50 and 6,061.75

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Solution

The fourth proportional to 11,097.53, 15,314.50 and 6,061.75 is: 8,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.53 : 15,314.50 = 6,061.75 : x
  2. Step 2: Convert to fraction form
    11,097.53/15,314.50 = 6,061.75/x
  3. Step 3: Cross multiply
    11,097.53x = 15,314.50 × 6,061.75
  4. Step 4: Simplify right side
    11,097.53x = 92,832,635.63
  5. Step 5: Solve for x
    x = 92,832,635.63/11,097.53
  6. Step 6: Final answer
    x = 8,365.16

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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.