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Finding the Fourth Proportional to 10,770.08, 14,862.62 and 6,054.38

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Solution

The fourth proportional to 10,770.08, 14,862.62 and 6,054.38 is: 8,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.08 : 14,862.62 = 6,054.38 : x
  2. Step 2: Convert to fraction form
    10,770.08/14,862.62 = 6,054.38/x
  3. Step 3: Cross multiply
    10,770.08x = 14,862.62 × 6,054.38
  4. Step 4: Simplify right side
    10,770.08x = 89,983,949.28
  5. Step 5: Solve for x
    x = 89,983,949.28/10,770.08
  6. Step 6: Final answer
    x = 8,354.99

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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.