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Finding the Fourth Proportional to 8,386.88, 11,574.56 and 4,661.44

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Solution

The fourth proportional to 8,386.88, 11,574.56 and 4,661.44 is: 6,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.88 : 11,574.56 = 4,661.44 : x
  2. Step 2: Convert to fraction form
    8,386.88/11,574.56 = 4,661.44/x
  3. Step 3: Cross multiply
    8,386.88x = 11,574.56 × 4,661.44
  4. Step 4: Simplify right side
    8,386.88x = 53,954,116.97
  5. Step 5: Solve for x
    x = 53,954,116.97/8,386.88
  6. Step 6: Final answer
    x = 6,433.16

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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.