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Finding the Fourth Proportional to 10,253.61, 15,379.77 and 2,859.12

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Solution

The fourth proportional to 10,253.61, 15,379.77 and 2,859.12 is: 4,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.61 : 15,379.77 = 2,859.12 : x
  2. Step 2: Convert to fraction form
    10,253.61/15,379.77 = 2,859.12/x
  3. Step 3: Cross multiply
    10,253.61x = 15,379.77 × 2,859.12
  4. Step 4: Simplify right side
    10,253.61x = 43,972,608.00
  5. Step 5: Solve for x
    x = 43,972,608.00/10,253.61
  6. Step 6: Final answer
    x = 4,288.50

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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.