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Finding the Fourth Proportional to 10,014.30, 15,021.78 and 3,440.40

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Solution

The fourth proportional to 10,014.30, 15,021.78 and 3,440.40 is: 5,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.30 : 15,021.78 = 3,440.40 : x
  2. Step 2: Convert to fraction form
    10,014.30/15,021.78 = 3,440.40/x
  3. Step 3: Cross multiply
    10,014.30x = 15,021.78 × 3,440.40
  4. Step 4: Simplify right side
    10,014.30x = 51,680,931.91
  5. Step 5: Solve for x
    x = 51,680,931.91/10,014.30
  6. Step 6: Final answer
    x = 5,160.71

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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.