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Finding the Fourth Proportional to 10,903.84, 16,357.80 and 3,883

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Solution

The fourth proportional to 10,903.84, 16,357.80 and 3,883 is: 5,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.84 : 16,357.80 = 3,883 : x
  2. Step 2: Convert to fraction form
    10,903.84/16,357.80 = 3,883/x
  3. Step 3: Cross multiply
    10,903.84x = 16,357.80 × 3,883
  4. Step 4: Simplify right side
    10,903.84x = 63,517,337.40
  5. Step 5: Solve for x
    x = 63,517,337.40/10,903.84
  6. Step 6: Final answer
    x = 5,825.23

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Why These Related Problems?

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