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Finding the Fourth Proportional to 10,770.17, 14,864.31 and 6,054.75

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Solution

The fourth proportional to 10,770.17, 14,864.31 and 6,054.75 is: 8,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.17 : 14,864.31 = 6,054.75 : x
  2. Step 2: Convert to fraction form
    10,770.17/14,864.31 = 6,054.75/x
  3. Step 3: Cross multiply
    10,770.17x = 14,864.31 × 6,054.75
  4. Step 4: Simplify right side
    10,770.17x = 89,999,680.97
  5. Step 5: Solve for x
    x = 89,999,680.97/10,770.17
  6. Step 6: Final answer
    x = 8,356.39

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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.