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Finding the Fourth Proportional to 8,564.40, 12,830.40 and 7,981.20

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Solution

The fourth proportional to 8,564.40, 12,830.40 and 7,981.20 is: 11,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.40 : 12,830.40 = 7,981.20 : x
  2. Step 2: Convert to fraction form
    8,564.40/12,830.40 = 7,981.20/x
  3. Step 3: Cross multiply
    8,564.40x = 12,830.40 × 7,981.20
  4. Step 4: Simplify right side
    8,564.40x = 102,401,988.48
  5. Step 5: Solve for x
    x = 102,401,988.48/8,564.40
  6. Step 6: Final answer
    x = 11,956.70

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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.