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Finding the Fourth Proportional to 10,578.88, 14,592.22 and 6,806.95

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Solution

The fourth proportional to 10,578.88, 14,592.22 and 6,806.95 is: 9,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.88 : 14,592.22 = 6,806.95 : x
  2. Step 2: Convert to fraction form
    10,578.88/14,592.22 = 6,806.95/x
  3. Step 3: Cross multiply
    10,578.88x = 14,592.22 × 6,806.95
  4. Step 4: Simplify right side
    10,578.88x = 99,328,458.43
  5. Step 5: Solve for x
    x = 99,328,458.43/10,578.88
  6. Step 6: Final answer
    x = 9,389.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.