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Finding the Fourth Proportional to 11,097.64, 15,314.66 and 6,061.86

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Solution

The fourth proportional to 11,097.64, 15,314.66 and 6,061.86 is: 8,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.64 : 15,314.66 = 6,061.86 : x
  2. Step 2: Convert to fraction form
    11,097.64/15,314.66 = 6,061.86/x
  3. Step 3: Cross multiply
    11,097.64x = 15,314.66 × 6,061.86
  4. Step 4: Simplify right side
    11,097.64x = 92,835,324.87
  5. Step 5: Solve for x
    x = 92,835,324.87/11,097.64
  6. Step 6: Final answer
    x = 8,365.32

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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.