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Finding the Fourth Proportional to 11,626.71, 16,049.07 and 7,156.44

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Solution

The fourth proportional to 11,626.71, 16,049.07 and 7,156.44 is: 9,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.71 : 16,049.07 = 7,156.44 : x
  2. Step 2: Convert to fraction form
    11,626.71/16,049.07 = 7,156.44/x
  3. Step 3: Cross multiply
    11,626.71x = 16,049.07 × 7,156.44
  4. Step 4: Simplify right side
    11,626.71x = 114,854,206.51
  5. Step 5: Solve for x
    x = 114,854,206.51/11,626.71
  6. Step 6: Final answer
    x = 9,878.48

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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.