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Finding the Fourth Proportional to 10,019.88, 15,032.34 and 3,446.10

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Solution

The fourth proportional to 10,019.88, 15,032.34 and 3,446.10 is: 5,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.88 : 15,032.34 = 3,446.10 : x
  2. Step 2: Convert to fraction form
    10,019.88/15,032.34 = 3,446.10/x
  3. Step 3: Cross multiply
    10,019.88x = 15,032.34 × 3,446.10
  4. Step 4: Simplify right side
    10,019.88x = 51,802,946.87
  5. Step 5: Solve for x
    x = 51,802,946.87/10,019.88
  6. Step 6: Final answer
    x = 5,170.02

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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.