Home / 10,098-13,936.32-5,909.76

Finding the Fourth Proportional to 10,098, 13,936.32 and 5,909.76

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Solution

The fourth proportional to 10,098, 13,936.32 and 5,909.76 is: 8,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098 : 13,936.32 = 5,909.76 : x
  2. Step 2: Convert to fraction form
    10,098/13,936.32 = 5,909.76/x
  3. Step 3: Cross multiply
    10,098x = 13,936.32 × 5,909.76
  4. Step 4: Simplify right side
    10,098x = 82,360,306.48
  5. Step 5: Solve for x
    x = 82,360,306.48/10,098
  6. Step 6: Final answer
    x = 8,156.10

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