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Finding the Fourth Proportional to 7,031.81, 10,550.63 and 3,081.02

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Solution

The fourth proportional to 7,031.81, 10,550.63 and 3,081.02 is: 4,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.81 : 10,550.63 = 3,081.02 : x
  2. Step 2: Convert to fraction form
    7,031.81/10,550.63 = 3,081.02/x
  3. Step 3: Cross multiply
    7,031.81x = 10,550.63 × 3,081.02
  4. Step 4: Simplify right side
    7,031.81x = 32,506,713.01
  5. Step 5: Solve for x
    x = 32,506,713.01/7,031.81
  6. Step 6: Final answer
    x = 4,622.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.