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Finding the Fourth Proportional to 10,770.33, 14,862.99 and 6,054.62

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Solution

The fourth proportional to 10,770.33, 14,862.99 and 6,054.62 is: 8,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.33 : 14,862.99 = 6,054.62 : x
  2. Step 2: Convert to fraction form
    10,770.33/14,862.99 = 6,054.62/x
  3. Step 3: Cross multiply
    10,770.33x = 14,862.99 × 6,054.62
  4. Step 4: Simplify right side
    10,770.33x = 89,989,682.20
  5. Step 5: Solve for x
    x = 89,989,682.20/10,770.33
  6. Step 6: Final answer
    x = 8,355.33

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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.