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Finding the Fourth Proportional to 10,774.49, 14,861.48 and 6,990.90

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Solution

The fourth proportional to 10,774.49, 14,861.48 and 6,990.90 is: 9,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.49 : 14,861.48 = 6,990.90 : x
  2. Step 2: Convert to fraction form
    10,774.49/14,861.48 = 6,990.90/x
  3. Step 3: Cross multiply
    10,774.49x = 14,861.48 × 6,990.90
  4. Step 4: Simplify right side
    10,774.49x = 103,895,029.85
  5. Step 5: Solve for x
    x = 103,895,029.85/10,774.49
  6. Step 6: Final answer
    x = 9,642.69

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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.