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Finding the Fourth Proportional to 10,397.81, 14,350.74 and 5,920.94

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Solution

The fourth proportional to 10,397.81, 14,350.74 and 5,920.94 is: 8,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.81 : 14,350.74 = 5,920.94 : x
  2. Step 2: Convert to fraction form
    10,397.81/14,350.74 = 5,920.94/x
  3. Step 3: Cross multiply
    10,397.81x = 14,350.74 × 5,920.94
  4. Step 4: Simplify right side
    10,397.81x = 84,969,870.50
  5. Step 5: Solve for x
    x = 84,969,870.50/10,397.81
  6. Step 6: Final answer
    x = 8,171.90

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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.