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Finding the Fourth Proportional to 8,492.49, 12,722.16 and 5,561.91

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Solution

The fourth proportional to 8,492.49, 12,722.16 and 5,561.91 is: 8,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.49 : 12,722.16 = 5,561.91 : x
  2. Step 2: Convert to fraction form
    8,492.49/12,722.16 = 5,561.91/x
  3. Step 3: Cross multiply
    8,492.49x = 12,722.16 × 5,561.91
  4. Step 4: Simplify right side
    8,492.49x = 70,759,508.93
  5. Step 5: Solve for x
    x = 70,759,508.93/8,492.49
  6. Step 6: Final answer
    x = 8,332.01

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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.