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Finding the Fourth Proportional to 8,689.19, 13,031.76 and 5,180.18

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Solution

The fourth proportional to 8,689.19, 13,031.76 and 5,180.18 is: 7,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.19 : 13,031.76 = 5,180.18 : x
  2. Step 2: Convert to fraction form
    8,689.19/13,031.76 = 5,180.18/x
  3. Step 3: Cross multiply
    8,689.19x = 13,031.76 × 5,180.18
  4. Step 4: Simplify right side
    8,689.19x = 67,506,797.36
  5. Step 5: Solve for x
    x = 67,506,797.36/8,689.19
  6. Step 6: Final answer
    x = 7,769.06

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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.