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Finding the Fourth Proportional to 10,153.41, 15,228.54 and 3,578.64

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Solution

The fourth proportional to 10,153.41, 15,228.54 and 3,578.64 is: 5,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.41 : 15,228.54 = 3,578.64 : x
  2. Step 2: Convert to fraction form
    10,153.41/15,228.54 = 3,578.64/x
  3. Step 3: Cross multiply
    10,153.41x = 15,228.54 × 3,578.64
  4. Step 4: Simplify right side
    10,153.41x = 54,497,462.39
  5. Step 5: Solve for x
    x = 54,497,462.39/10,153.41
  6. Step 6: Final answer
    x = 5,367.40

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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.