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Finding the Fourth Proportional to 12,005.38, 16,562.80 and 7,521.33

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Solution

The fourth proportional to 12,005.38, 16,562.80 and 7,521.33 is: 10,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.38 : 16,562.80 = 7,521.33 : x
  2. Step 2: Convert to fraction form
    12,005.38/16,562.80 = 7,521.33/x
  3. Step 3: Cross multiply
    12,005.38x = 16,562.80 × 7,521.33
  4. Step 4: Simplify right side
    12,005.38x = 124,574,284.52
  5. Step 5: Solve for x
    x = 124,574,284.52/12,005.38
  6. Step 6: Final answer
    x = 10,376.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.