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Finding the Fourth Proportional to 10,864.42, 14,992.95 and 6,149.62

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Solution

The fourth proportional to 10,864.42, 14,992.95 and 6,149.62 is: 8,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.42 : 14,992.95 = 6,149.62 : x
  2. Step 2: Convert to fraction form
    10,864.42/14,992.95 = 6,149.62/x
  3. Step 3: Cross multiply
    10,864.42x = 14,992.95 × 6,149.62
  4. Step 4: Simplify right side
    10,864.42x = 92,200,945.18
  5. Step 5: Solve for x
    x = 92,200,945.18/10,864.42
  6. Step 6: Final answer
    x = 8,486.50

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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.