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Finding the Fourth Proportional to 8,323, 12,474.78 and 4,623.46

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Solution

The fourth proportional to 8,323, 12,474.78 and 4,623.46 is: 6,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323 : 12,474.78 = 4,623.46 : x
  2. Step 2: Convert to fraction form
    8,323/12,474.78 = 4,623.46/x
  3. Step 3: Cross multiply
    8,323x = 12,474.78 × 4,623.46
  4. Step 4: Simplify right side
    8,323x = 57,676,646.34
  5. Step 5: Solve for x
    x = 57,676,646.34/8,323
  6. Step 6: Final answer
    x = 6,929.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.