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Finding the Fourth Proportional to 10,289.04, 15,431.52 and 2,894.04

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Solution

The fourth proportional to 10,289.04, 15,431.52 and 2,894.04 is: 4,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.04 : 15,431.52 = 2,894.04 : x
  2. Step 2: Convert to fraction form
    10,289.04/15,431.52 = 2,894.04/x
  3. Step 3: Cross multiply
    10,289.04x = 15,431.52 × 2,894.04
  4. Step 4: Simplify right side
    10,289.04x = 44,659,436.14
  5. Step 5: Solve for x
    x = 44,659,436.14/10,289.04
  6. Step 6: Final answer
    x = 4,340.49

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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.