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Finding the Fourth Proportional to 11,645.57, 17,468.40 and 2,880.46

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Solution

The fourth proportional to 11,645.57, 17,468.40 and 2,880.46 is: 4,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.57 : 17,468.40 = 2,880.46 : x
  2. Step 2: Convert to fraction form
    11,645.57/17,468.40 = 2,880.46/x
  3. Step 3: Cross multiply
    11,645.57x = 17,468.40 × 2,880.46
  4. Step 4: Simplify right side
    11,645.57x = 50,316,940.12
  5. Step 5: Solve for x
    x = 50,316,940.12/11,645.57
  6. Step 6: Final answer
    x = 4,320.70

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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.