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Finding the Fourth Proportional to 10,869.38, 14,999.93 and 5,901.38

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Solution

The fourth proportional to 10,869.38, 14,999.93 and 5,901.38 is: 8,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.38 : 14,999.93 = 5,901.38 : x
  2. Step 2: Convert to fraction form
    10,869.38/14,999.93 = 5,901.38/x
  3. Step 3: Cross multiply
    10,869.38x = 14,999.93 × 5,901.38
  4. Step 4: Simplify right side
    10,869.38x = 88,520,182.40
  5. Step 5: Solve for x
    x = 88,520,182.40/10,869.38
  6. Step 6: Final answer
    x = 8,144.00

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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.