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Finding the Fourth Proportional to 7,832.43, 10,808.78 and 4,688.61

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Solution

The fourth proportional to 7,832.43, 10,808.78 and 4,688.61 is: 6,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.43 : 10,808.78 = 4,688.61 : x
  2. Step 2: Convert to fraction form
    7,832.43/10,808.78 = 4,688.61/x
  3. Step 3: Cross multiply
    7,832.43x = 10,808.78 × 4,688.61
  4. Step 4: Simplify right side
    7,832.43x = 50,678,130.55
  5. Step 5: Solve for x
    x = 50,678,130.55/7,832.43
  6. Step 6: Final answer
    x = 6,470.30

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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.