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Finding the Fourth Proportional to 7,707.90, 11,568.39 and 3,031.17

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Solution

The fourth proportional to 7,707.90, 11,568.39 and 3,031.17 is: 4,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.90 : 11,568.39 = 3,031.17 : x
  2. Step 2: Convert to fraction form
    7,707.90/11,568.39 = 3,031.17/x
  3. Step 3: Cross multiply
    7,707.90x = 11,568.39 × 3,031.17
  4. Step 4: Simplify right side
    7,707.90x = 35,065,756.72
  5. Step 5: Solve for x
    x = 35,065,756.72/7,707.90
  6. Step 6: Final answer
    x = 4,549.33

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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.