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Finding the Fourth Proportional to 8,409.16, 12,622.38 and 8,098.12

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Solution

The fourth proportional to 8,409.16, 12,622.38 and 8,098.12 is: 12,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.16 : 12,622.38 = 8,098.12 : x
  2. Step 2: Convert to fraction form
    8,409.16/12,622.38 = 8,098.12/x
  3. Step 3: Cross multiply
    8,409.16x = 12,622.38 × 8,098.12
  4. Step 4: Simplify right side
    8,409.16x = 102,217,547.93
  5. Step 5: Solve for x
    x = 102,217,547.93/8,409.16
  6. Step 6: Final answer
    x = 12,155.50

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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.