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Finding the Fourth Proportional to 10,756.40, 14,842.17 and 5,975.91

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Solution

The fourth proportional to 10,756.40, 14,842.17 and 5,975.91 is: 8,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.40 : 14,842.17 = 5,975.91 : x
  2. Step 2: Convert to fraction form
    10,756.40/14,842.17 = 5,975.91/x
  3. Step 3: Cross multiply
    10,756.40x = 14,842.17 × 5,975.91
  4. Step 4: Simplify right side
    10,756.40x = 88,695,472.12
  5. Step 5: Solve for x
    x = 88,695,472.12/10,756.40
  6. Step 6: Final answer
    x = 8,245.84

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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.