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Finding the Fourth Proportional to 11,833.13, 16,325.57 and 7,586.52

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Solution

The fourth proportional to 11,833.13, 16,325.57 and 7,586.52 is: 10,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.13 : 16,325.57 = 7,586.52 : x
  2. Step 2: Convert to fraction form
    11,833.13/16,325.57 = 7,586.52/x
  3. Step 3: Cross multiply
    11,833.13x = 16,325.57 × 7,586.52
  4. Step 4: Simplify right side
    11,833.13x = 123,854,225.38
  5. Step 5: Solve for x
    x = 123,854,225.38/11,833.13
  6. Step 6: Final answer
    x = 10,466.74

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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.