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Finding the Fourth Proportional to 8,386.71, 12,580.46 and 5,932.49

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Solution

The fourth proportional to 8,386.71, 12,580.46 and 5,932.49 is: 8,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.71 : 12,580.46 = 5,932.49 : x
  2. Step 2: Convert to fraction form
    8,386.71/12,580.46 = 5,932.49/x
  3. Step 3: Cross multiply
    8,386.71x = 12,580.46 × 5,932.49
  4. Step 4: Simplify right side
    8,386.71x = 74,633,360.58
  5. Step 5: Solve for x
    x = 74,633,360.58/8,386.71
  6. Step 6: Final answer
    x = 8,899.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.