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Finding the Fourth Proportional to 11,014.66, 15,195.27 and 6,538.60

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Solution

The fourth proportional to 11,014.66, 15,195.27 and 6,538.60 is: 9,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.66 : 15,195.27 = 6,538.60 : x
  2. Step 2: Convert to fraction form
    11,014.66/15,195.27 = 6,538.60/x
  3. Step 3: Cross multiply
    11,014.66x = 15,195.27 × 6,538.60
  4. Step 4: Simplify right side
    11,014.66x = 99,355,792.42
  5. Step 5: Solve for x
    x = 99,355,792.42/11,014.66
  6. Step 6: Final answer
    x = 9,020.32

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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.