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Finding the Fourth Proportional to 8,317, 12,478.74 and 3,123.28

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Solution

The fourth proportional to 8,317, 12,478.74 and 3,123.28 is: 4,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317 : 12,478.74 = 3,123.28 : x
  2. Step 2: Convert to fraction form
    8,317/12,478.74 = 3,123.28/x
  3. Step 3: Cross multiply
    8,317x = 12,478.74 × 3,123.28
  4. Step 4: Simplify right side
    8,317x = 38,974,599.07
  5. Step 5: Solve for x
    x = 38,974,599.07/8,317
  6. Step 6: Final answer
    x = 4,686.14

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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.