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Finding the Fourth Proportional to 15,858.28, 23,752.86 and 7,633

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Solution

The fourth proportional to 15,858.28, 23,752.86 and 7,633 is: 11,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.28 : 23,752.86 = 7,633 : x
  2. Step 2: Convert to fraction form
    15,858.28/23,752.86 = 7,633/x
  3. Step 3: Cross multiply
    15,858.28x = 23,752.86 × 7,633
  4. Step 4: Simplify right side
    15,858.28x = 181,305,580.38
  5. Step 5: Solve for x
    x = 181,305,580.38/15,858.28
  6. Step 6: Final answer
    x = 11,432.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.