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Finding the Fourth Proportional to 11,949.17, 16,488.95 and 6,643.53

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Solution

The fourth proportional to 11,949.17, 16,488.95 and 6,643.53 is: 9,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.17 : 16,488.95 = 6,643.53 : x
  2. Step 2: Convert to fraction form
    11,949.17/16,488.95 = 6,643.53/x
  3. Step 3: Cross multiply
    11,949.17x = 16,488.95 × 6,643.53
  4. Step 4: Simplify right side
    11,949.17x = 109,544,800.78
  5. Step 5: Solve for x
    x = 109,544,800.78/11,949.17
  6. Step 6: Final answer
    x = 9,167.57

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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.