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Finding the Fourth Proportional to 11,874.49, 16,386.87 and 6,569.39

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Solution

The fourth proportional to 11,874.49, 16,386.87 and 6,569.39 is: 9,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.49 : 16,386.87 = 6,569.39 : x
  2. Step 2: Convert to fraction form
    11,874.49/16,386.87 = 6,569.39/x
  3. Step 3: Cross multiply
    11,874.49x = 16,386.87 × 6,569.39
  4. Step 4: Simplify right side
    11,874.49x = 107,651,739.91
  5. Step 5: Solve for x
    x = 107,651,739.91/11,874.49
  6. Step 6: Final answer
    x = 9,065.80

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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.