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Finding the Fourth Proportional to 7,834.32, 10,813.10 and 6,129.46

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Solution

The fourth proportional to 7,834.32, 10,813.10 and 6,129.46 is: 8,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.32 : 10,813.10 = 6,129.46 : x
  2. Step 2: Convert to fraction form
    7,834.32/10,813.10 = 6,129.46/x
  3. Step 3: Cross multiply
    7,834.32x = 10,813.10 × 6,129.46
  4. Step 4: Simplify right side
    7,834.32x = 66,278,463.93
  5. Step 5: Solve for x
    x = 66,278,463.93/7,834.32
  6. Step 6: Final answer
    x = 8,460.01

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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.