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Finding the Fourth Proportional to 7,835.91, 10,814.30 and 4,478.08

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Solution

The fourth proportional to 7,835.91, 10,814.30 and 4,478.08 is: 6,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.91 : 10,814.30 = 4,478.08 : x
  2. Step 2: Convert to fraction form
    7,835.91/10,814.30 = 4,478.08/x
  3. Step 3: Cross multiply
    7,835.91x = 10,814.30 × 4,478.08
  4. Step 4: Simplify right side
    7,835.91x = 48,427,251.12
  5. Step 5: Solve for x
    x = 48,427,251.12/7,835.91
  6. Step 6: Final answer
    x = 6,180.17

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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.