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Finding the Fourth Proportional to 8,203.52, 11,320.76 and 4,666.73

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Solution

The fourth proportional to 8,203.52, 11,320.76 and 4,666.73 is: 6,440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.52 : 11,320.76 = 4,666.73 : x
  2. Step 2: Convert to fraction form
    8,203.52/11,320.76 = 4,666.73/x
  3. Step 3: Cross multiply
    8,203.52x = 11,320.76 × 4,666.73
  4. Step 4: Simplify right side
    8,203.52x = 52,830,885.38
  5. Step 5: Solve for x
    x = 52,830,885.38/8,203.52
  6. Step 6: Final answer
    x = 6,440.02

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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.