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Finding the Fourth Proportional to 10,770.92, 14,862.26 and 6,054.29

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Solution

The fourth proportional to 10,770.92, 14,862.26 and 6,054.29 is: 8,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.92 : 14,862.26 = 6,054.29 : x
  2. Step 2: Convert to fraction form
    10,770.92/14,862.26 = 6,054.29/x
  3. Step 3: Cross multiply
    10,770.92x = 14,862.26 × 6,054.29
  4. Step 4: Simplify right side
    10,770.92x = 89,980,432.10
  5. Step 5: Solve for x
    x = 89,980,432.10/10,770.92
  6. Step 6: Final answer
    x = 8,354.02

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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.