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Finding the Fourth Proportional to 11,822.80, 16,312.52 and 7,626

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Solution

The fourth proportional to 11,822.80, 16,312.52 and 7,626 is: 10,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.80 : 16,312.52 = 7,626 : x
  2. Step 2: Convert to fraction form
    11,822.80/16,312.52 = 7,626/x
  3. Step 3: Cross multiply
    11,822.80x = 16,312.52 × 7,626
  4. Step 4: Simplify right side
    11,822.80x = 124,399,277.52
  5. Step 5: Solve for x
    x = 124,399,277.52/11,822.80
  6. Step 6: Final answer
    x = 10,521.98

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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.