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Finding the Fourth Proportional to 10,877.58, 16,294.41 and 7,170.66

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Solution

The fourth proportional to 10,877.58, 16,294.41 and 7,170.66 is: 10,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.58 : 16,294.41 = 7,170.66 : x
  2. Step 2: Convert to fraction form
    10,877.58/16,294.41 = 7,170.66/x
  3. Step 3: Cross multiply
    10,877.58x = 16,294.41 × 7,170.66
  4. Step 4: Simplify right side
    10,877.58x = 116,841,674.01
  5. Step 5: Solve for x
    x = 116,841,674.01/10,877.58
  6. Step 6: Final answer
    x = 10,741.51

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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.