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Finding the Fourth Proportional to 7,836.04, 10,813.01 and 4,478.74

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Solution

The fourth proportional to 7,836.04, 10,813.01 and 4,478.74 is: 6,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.04 : 10,813.01 = 4,478.74 : x
  2. Step 2: Convert to fraction form
    7,836.04/10,813.01 = 4,478.74/x
  3. Step 3: Cross multiply
    7,836.04x = 10,813.01 × 4,478.74
  4. Step 4: Simplify right side
    7,836.04x = 48,428,609.68
  5. Step 5: Solve for x
    x = 48,428,609.68/7,836.04
  6. Step 6: Final answer
    x = 6,180.24

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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.