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Finding the Fourth Proportional to 10,770.35, 14,864.41 and 6,054.63

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Solution

The fourth proportional to 10,770.35, 14,864.41 and 6,054.63 is: 8,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.35 : 14,864.41 = 6,054.63 : x
  2. Step 2: Convert to fraction form
    10,770.35/14,864.41 = 6,054.63/x
  3. Step 3: Cross multiply
    10,770.35x = 14,864.41 × 6,054.63
  4. Step 4: Simplify right side
    10,770.35x = 89,998,454.55
  5. Step 5: Solve for x
    x = 89,998,454.55/10,770.35
  6. Step 6: Final answer
    x = 8,356.13

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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.