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Finding the Fourth Proportional to 7,834.20, 10,809.04 and 5,041.32

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Solution

The fourth proportional to 7,834.20, 10,809.04 and 5,041.32 is: 6,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.20 : 10,809.04 = 5,041.32 : x
  2. Step 2: Convert to fraction form
    7,834.20/10,809.04 = 5,041.32/x
  3. Step 3: Cross multiply
    7,834.20x = 10,809.04 × 5,041.32
  4. Step 4: Simplify right side
    7,834.20x = 54,491,829.53
  5. Step 5: Solve for x
    x = 54,491,829.53/7,834.20
  6. Step 6: Final answer
    x = 6,955.63

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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.