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Finding the Fourth Proportional to 10,862.86, 14,990.52 and 6,386.80

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Solution

The fourth proportional to 10,862.86, 14,990.52 and 6,386.80 is: 8,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.86 : 14,990.52 = 6,386.80 : x
  2. Step 2: Convert to fraction form
    10,862.86/14,990.52 = 6,386.80/x
  3. Step 3: Cross multiply
    10,862.86x = 14,990.52 × 6,386.80
  4. Step 4: Simplify right side
    10,862.86x = 95,741,453.14
  5. Step 5: Solve for x
    x = 95,741,453.14/10,862.86
  6. Step 6: Final answer
    x = 8,813.65

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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.