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Finding the Fourth Proportional to 11,178.80, 15,428.80 and 6,701.60

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Solution

The fourth proportional to 11,178.80, 15,428.80 and 6,701.60 is: 9,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.80 : 15,428.80 = 6,701.60 : x
  2. Step 2: Convert to fraction form
    11,178.80/15,428.80 = 6,701.60/x
  3. Step 3: Cross multiply
    11,178.80x = 15,428.80 × 6,701.60
  4. Step 4: Simplify right side
    11,178.80x = 103,397,646.08
  5. Step 5: Solve for x
    x = 103,397,646.08/11,178.80
  6. Step 6: Final answer
    x = 9,249.44

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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.