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Finding the Fourth Proportional to 10,703.29, 14,770.58 and 5,987.57

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Solution

The fourth proportional to 10,703.29, 14,770.58 and 5,987.57 is: 8,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.29 : 14,770.58 = 5,987.57 : x
  2. Step 2: Convert to fraction form
    10,703.29/14,770.58 = 5,987.57/x
  3. Step 3: Cross multiply
    10,703.29x = 14,770.58 × 5,987.57
  4. Step 4: Simplify right side
    10,703.29x = 88,439,851.75
  5. Step 5: Solve for x
    x = 88,439,851.75/10,703.29
  6. Step 6: Final answer
    x = 8,262.87

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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.