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Finding the Fourth Proportional to 8,292.36, 12,441.78 and 3,097.02

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Solution

The fourth proportional to 8,292.36, 12,441.78 and 3,097.02 is: 4,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.36 : 12,441.78 = 3,097.02 : x
  2. Step 2: Convert to fraction form
    8,292.36/12,441.78 = 3,097.02/x
  3. Step 3: Cross multiply
    8,292.36x = 12,441.78 × 3,097.02
  4. Step 4: Simplify right side
    8,292.36x = 38,532,441.50
  5. Step 5: Solve for x
    x = 38,532,441.50/8,292.36
  6. Step 6: Final answer
    x = 4,646.74

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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.