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Finding the Fourth Proportional to 8,324.60, 11,464.56 and 8,143.16

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Solution

The fourth proportional to 8,324.60, 11,464.56 and 8,143.16 is: 11,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.60 : 11,464.56 = 8,143.16 : x
  2. Step 2: Convert to fraction form
    8,324.60/11,464.56 = 8,143.16/x
  3. Step 3: Cross multiply
    8,324.60x = 11,464.56 × 8,143.16
  4. Step 4: Simplify right side
    8,324.60x = 93,357,746.41
  5. Step 5: Solve for x
    x = 93,357,746.41/8,324.60
  6. Step 6: Final answer
    x = 11,214.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.