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Finding the Fourth Proportional to 10,913.60, 15,067.82 and 6,886.08

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Solution

The fourth proportional to 10,913.60, 15,067.82 and 6,886.08 is: 9,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.60 : 15,067.82 = 6,886.08 : x
  2. Step 2: Convert to fraction form
    10,913.60/15,067.82 = 6,886.08/x
  3. Step 3: Cross multiply
    10,913.60x = 15,067.82 × 6,886.08
  4. Step 4: Simplify right side
    10,913.60x = 103,758,231.16
  5. Step 5: Solve for x
    x = 103,758,231.16/10,913.60
  6. Step 6: Final answer
    x = 9,507.24

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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.