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Finding the Fourth Proportional to 8,970.66, 12,401.10 and 8,223.39

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Solution

The fourth proportional to 8,970.66, 12,401.10 and 8,223.39 is: 11,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.66 : 12,401.10 = 8,223.39 : x
  2. Step 2: Convert to fraction form
    8,970.66/12,401.10 = 8,223.39/x
  3. Step 3: Cross multiply
    8,970.66x = 12,401.10 × 8,223.39
  4. Step 4: Simplify right side
    8,970.66x = 101,979,081.73
  5. Step 5: Solve for x
    x = 101,979,081.73/8,970.66
  6. Step 6: Final answer
    x = 11,368.07

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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.