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Finding the Fourth Proportional to 8,147.90, 12,223.89 and 2,304.50

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Solution

The fourth proportional to 8,147.90, 12,223.89 and 2,304.50 is: 3,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.90 : 12,223.89 = 2,304.50 : x
  2. Step 2: Convert to fraction form
    8,147.90/12,223.89 = 2,304.50/x
  3. Step 3: Cross multiply
    8,147.90x = 12,223.89 × 2,304.50
  4. Step 4: Simplify right side
    8,147.90x = 28,169,985.06
  5. Step 5: Solve for x
    x = 28,169,985.06/8,147.90
  6. Step 6: Final answer
    x = 3,457.33

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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.