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Finding the Fourth Proportional to 8,195.54, 12,305.57 and 4,689.50

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Solution

The fourth proportional to 8,195.54, 12,305.57 and 4,689.50 is: 7,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.54 : 12,305.57 = 4,689.50 : x
  2. Step 2: Convert to fraction form
    8,195.54/12,305.57 = 4,689.50/x
  3. Step 3: Cross multiply
    8,195.54x = 12,305.57 × 4,689.50
  4. Step 4: Simplify right side
    8,195.54x = 57,706,920.71
  5. Step 5: Solve for x
    x = 57,706,920.71/8,195.54
  6. Step 6: Final answer
    x = 7,041.26

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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.