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Finding the Fourth Proportional to 8,139.70, 11,231.13 and 4,783.06

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Solution

The fourth proportional to 8,139.70, 11,231.13 and 4,783.06 is: 6,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.70 : 11,231.13 = 4,783.06 : x
  2. Step 2: Convert to fraction form
    8,139.70/11,231.13 = 4,783.06/x
  3. Step 3: Cross multiply
    8,139.70x = 11,231.13 × 4,783.06
  4. Step 4: Simplify right side
    8,139.70x = 53,719,168.66
  5. Step 5: Solve for x
    x = 53,719,168.66/8,139.70
  6. Step 6: Final answer
    x = 6,599.65

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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.