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Finding the Fourth Proportional to 8,386.74, 11,573.82 and 4,660.74

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Solution

The fourth proportional to 8,386.74, 11,573.82 and 4,660.74 is: 6,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.74 : 11,573.82 = 4,660.74 : x
  2. Step 2: Convert to fraction form
    8,386.74/11,573.82 = 4,660.74/x
  3. Step 3: Cross multiply
    8,386.74x = 11,573.82 × 4,660.74
  4. Step 4: Simplify right side
    8,386.74x = 53,942,565.83
  5. Step 5: Solve for x
    x = 53,942,565.83/8,386.74
  6. Step 6: Final answer
    x = 6,431.89

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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.