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Finding the Fourth Proportional to 8,223.20, 12,256.63 and 7,756.13

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Solution

The fourth proportional to 8,223.20, 12,256.63 and 7,756.13 is: 11,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.20 : 12,256.63 = 7,756.13 : x
  2. Step 2: Convert to fraction form
    8,223.20/12,256.63 = 7,756.13/x
  3. Step 3: Cross multiply
    8,223.20x = 12,256.63 × 7,756.13
  4. Step 4: Simplify right side
    8,223.20x = 95,064,051.91
  5. Step 5: Solve for x
    x = 95,064,051.91/8,223.20
  6. Step 6: Final answer
    x = 11,560.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.