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Finding the Fourth Proportional to 8,460.68, 12,684.17 and 3,534.01

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Solution

The fourth proportional to 8,460.68, 12,684.17 and 3,534.01 is: 5,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.68 : 12,684.17 = 3,534.01 : x
  2. Step 2: Convert to fraction form
    8,460.68/12,684.17 = 3,534.01/x
  3. Step 3: Cross multiply
    8,460.68x = 12,684.17 × 3,534.01
  4. Step 4: Simplify right side
    8,460.68x = 44,825,920.20
  5. Step 5: Solve for x
    x = 44,825,920.20/8,460.68
  6. Step 6: Final answer
    x = 5,298.15

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Why These Related Problems?

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