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Finding the Fourth Proportional to 6,913.69, 10,370.53 and 2,296.69

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Solution

The fourth proportional to 6,913.69, 10,370.53 and 2,296.69 is: 3,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.69 : 10,370.53 = 2,296.69 : x
  2. Step 2: Convert to fraction form
    6,913.69/10,370.53 = 2,296.69/x
  3. Step 3: Cross multiply
    6,913.69x = 10,370.53 × 2,296.69
  4. Step 4: Simplify right side
    6,913.69x = 23,817,869.49
  5. Step 5: Solve for x
    x = 23,817,869.49/6,913.69
  6. Step 6: Final answer
    x = 3,445.03

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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.