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Finding the Fourth Proportional to 10,910.95, 15,058.94 and 6,435.80

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Solution

The fourth proportional to 10,910.95, 15,058.94 and 6,435.80 is: 8,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.95 : 15,058.94 = 6,435.80 : x
  2. Step 2: Convert to fraction form
    10,910.95/15,058.94 = 6,435.80/x
  3. Step 3: Cross multiply
    10,910.95x = 15,058.94 × 6,435.80
  4. Step 4: Simplify right side
    10,910.95x = 96,916,377.86
  5. Step 5: Solve for x
    x = 96,916,377.86/10,910.95
  6. Step 6: Final answer
    x = 8,882.49

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