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Finding the Fourth Proportional to 8,047.68, 11,081.37 and 7,138.35

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Solution

The fourth proportional to 8,047.68, 11,081.37 and 7,138.35 is: 9,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.68 : 11,081.37 = 7,138.35 : x
  2. Step 2: Convert to fraction form
    8,047.68/11,081.37 = 7,138.35/x
  3. Step 3: Cross multiply
    8,047.68x = 11,081.37 × 7,138.35
  4. Step 4: Simplify right side
    8,047.68x = 79,102,724.31
  5. Step 5: Solve for x
    x = 79,102,724.31/8,047.68
  6. Step 6: Final answer
    x = 9,829.26

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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.