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Finding the Fourth Proportional to 10,291.53, 15,435.50 and 2,894.24

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Solution

The fourth proportional to 10,291.53, 15,435.50 and 2,894.24 is: 4,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.53 : 15,435.50 = 2,894.24 : x
  2. Step 2: Convert to fraction form
    10,291.53/15,435.50 = 2,894.24/x
  3. Step 3: Cross multiply
    10,291.53x = 15,435.50 × 2,894.24
  4. Step 4: Simplify right side
    10,291.53x = 44,673,949.87
  5. Step 5: Solve for x
    x = 44,673,949.87/10,291.53
  6. Step 6: Final answer
    x = 4,340.85

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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.