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Finding the Fourth Proportional to 11,548.80, 15,934.56 and 6,834.24

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Solution

The fourth proportional to 11,548.80, 15,934.56 and 6,834.24 is: 9,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.80 : 15,934.56 = 6,834.24 : x
  2. Step 2: Convert to fraction form
    11,548.80/15,934.56 = 6,834.24/x
  3. Step 3: Cross multiply
    11,548.80x = 15,934.56 × 6,834.24
  4. Step 4: Simplify right side
    11,548.80x = 108,900,607.33
  5. Step 5: Solve for x
    x = 108,900,607.33/11,548.80
  6. Step 6: Final answer
    x = 9,429.60

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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.