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Finding the Fourth Proportional to 8,502, 11,733.84 and 4,776

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Solution

The fourth proportional to 8,502, 11,733.84 and 4,776 is: 6,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502 : 11,733.84 = 4,776 : x
  2. Step 2: Convert to fraction form
    8,502/11,733.84 = 4,776/x
  3. Step 3: Cross multiply
    8,502x = 11,733.84 × 4,776
  4. Step 4: Simplify right side
    8,502x = 56,040,819.84
  5. Step 5: Solve for x
    x = 56,040,819.84/8,502
  6. Step 6: Final answer
    x = 6,591.49

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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.