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Finding the Fourth Proportional to 11,578.94, 17,368.35 and 2,813.87

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Solution

The fourth proportional to 11,578.94, 17,368.35 and 2,813.87 is: 4,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.94 : 17,368.35 = 2,813.87 : x
  2. Step 2: Convert to fraction form
    11,578.94/17,368.35 = 2,813.87/x
  3. Step 3: Cross multiply
    11,578.94x = 17,368.35 × 2,813.87
  4. Step 4: Simplify right side
    11,578.94x = 48,872,192.17
  5. Step 5: Solve for x
    x = 48,872,192.17/11,578.94
  6. Step 6: Final answer
    x = 4,220.78

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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.