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Finding the Fourth Proportional to 11,257.71, 15,535.40 and 6,221.81

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Solution

The fourth proportional to 11,257.71, 15,535.40 and 6,221.81 is: 8,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.71 : 15,535.40 = 6,221.81 : x
  2. Step 2: Convert to fraction form
    11,257.71/15,535.40 = 6,221.81/x
  3. Step 3: Cross multiply
    11,257.71x = 15,535.40 × 6,221.81
  4. Step 4: Simplify right side
    11,257.71x = 96,658,307.07
  5. Step 5: Solve for x
    x = 96,658,307.07/11,257.71
  6. Step 6: Final answer
    x = 8,585.97

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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.