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Finding the Fourth Proportional to 7,836.50, 10,812.80 and 4,480.43

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Solution

The fourth proportional to 7,836.50, 10,812.80 and 4,480.43 is: 6,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.50 : 10,812.80 = 4,480.43 : x
  2. Step 2: Convert to fraction form
    7,836.50/10,812.80 = 4,480.43/x
  3. Step 3: Cross multiply
    7,836.50x = 10,812.80 × 4,480.43
  4. Step 4: Simplify right side
    7,836.50x = 48,445,950.64
  5. Step 5: Solve for x
    x = 48,445,950.64/7,836.50
  6. Step 6: Final answer
    x = 6,182.09

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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.