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Finding the Fourth Proportional to 10,770.49, 16,156.89 and 4,531.13

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Solution

The fourth proportional to 10,770.49, 16,156.89 and 4,531.13 is: 6,797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.49 : 16,156.89 = 4,531.13 : x
  2. Step 2: Convert to fraction form
    10,770.49/16,156.89 = 4,531.13/x
  3. Step 3: Cross multiply
    10,770.49x = 16,156.89 × 4,531.13
  4. Step 4: Simplify right side
    10,770.49x = 73,208,966.53
  5. Step 5: Solve for x
    x = 73,208,966.53/10,770.49
  6. Step 6: Final answer
    x = 6,797.18

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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.