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Finding the Fourth Proportional to 10,000.86, 13,806.99 and 6,648.18

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Solution

The fourth proportional to 10,000.86, 13,806.99 and 6,648.18 is: 9,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.86 : 13,806.99 = 6,648.18 : x
  2. Step 2: Convert to fraction form
    10,000.86/13,806.99 = 6,648.18/x
  3. Step 3: Cross multiply
    10,000.86x = 13,806.99 × 6,648.18
  4. Step 4: Simplify right side
    10,000.86x = 91,791,354.78
  5. Step 5: Solve for x
    x = 91,791,354.78/10,000.86
  6. Step 6: Final answer
    x = 9,178.35

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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.