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Finding the Fourth Proportional to 7,578.35, 11,369.22 and 2,898.23

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Solution

The fourth proportional to 7,578.35, 11,369.22 and 2,898.23 is: 4,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.35 : 11,369.22 = 2,898.23 : x
  2. Step 2: Convert to fraction form
    7,578.35/11,369.22 = 2,898.23/x
  3. Step 3: Cross multiply
    7,578.35x = 11,369.22 × 2,898.23
  4. Step 4: Simplify right side
    7,578.35x = 32,950,557.63
  5. Step 5: Solve for x
    x = 32,950,557.63/7,578.35
  6. Step 6: Final answer
    x = 4,347.99

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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.