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Finding the Fourth Proportional to 8,386.96, 12,582.47 and 3,122.17

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Solution

The fourth proportional to 8,386.96, 12,582.47 and 3,122.17 is: 4,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.96 : 12,582.47 = 3,122.17 : x
  2. Step 2: Convert to fraction form
    8,386.96/12,582.47 = 3,122.17/x
  3. Step 3: Cross multiply
    8,386.96x = 12,582.47 × 3,122.17
  4. Step 4: Simplify right side
    8,386.96x = 39,284,610.36
  5. Step 5: Solve for x
    x = 39,284,610.36/8,386.96
  6. Step 6: Final answer
    x = 4,684.01

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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.