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Finding the Fourth Proportional to 11,948.30, 16,488.93 and 6,643

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Solution

The fourth proportional to 11,948.30, 16,488.93 and 6,643 is: 9,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.30 : 16,488.93 = 6,643 : x
  2. Step 2: Convert to fraction form
    11,948.30/16,488.93 = 6,643/x
  3. Step 3: Cross multiply
    11,948.30x = 16,488.93 × 6,643
  4. Step 4: Simplify right side
    11,948.30x = 109,535,961.99
  5. Step 5: Solve for x
    x = 109,535,961.99/11,948.30
  6. Step 6: Final answer
    x = 9,167.49

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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.