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Finding the Fourth Proportional to 10,910.88, 16,381.32 and 5,649.60

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Solution

The fourth proportional to 10,910.88, 16,381.32 and 5,649.60 is: 8,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.88 : 16,381.32 = 5,649.60 : x
  2. Step 2: Convert to fraction form
    10,910.88/16,381.32 = 5,649.60/x
  3. Step 3: Cross multiply
    10,910.88x = 16,381.32 × 5,649.60
  4. Step 4: Simplify right side
    10,910.88x = 92,547,905.47
  5. Step 5: Solve for x
    x = 92,547,905.47/10,910.88
  6. Step 6: Final answer
    x = 8,482.17

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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.