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Finding the Fourth Proportional to 7,474.71, 10,314.70 and 4,287.84

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Solution

The fourth proportional to 7,474.71, 10,314.70 and 4,287.84 is: 5,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.71 : 10,314.70 = 4,287.84 : x
  2. Step 2: Convert to fraction form
    7,474.71/10,314.70 = 4,287.84/x
  3. Step 3: Cross multiply
    7,474.71x = 10,314.70 × 4,287.84
  4. Step 4: Simplify right side
    7,474.71x = 44,227,783.25
  5. Step 5: Solve for x
    x = 44,227,783.25/7,474.71
  6. Step 6: Final answer
    x = 5,916.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.