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Finding the Fourth Proportional to 10,649.34, 15,981.12 and 3,723.84

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Solution

The fourth proportional to 10,649.34, 15,981.12 and 3,723.84 is: 5,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.34 : 15,981.12 = 3,723.84 : x
  2. Step 2: Convert to fraction form
    10,649.34/15,981.12 = 3,723.84/x
  3. Step 3: Cross multiply
    10,649.34x = 15,981.12 × 3,723.84
  4. Step 4: Simplify right side
    10,649.34x = 59,511,133.90
  5. Step 5: Solve for x
    x = 59,511,133.90/10,649.34
  6. Step 6: Final answer
    x = 5,588.25

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