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Finding the Fourth Proportional to 10,770.86, 14,864.13 and 6,522.71

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Solution

The fourth proportional to 10,770.86, 14,864.13 and 6,522.71 is: 9,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.86 : 14,864.13 = 6,522.71 : x
  2. Step 2: Convert to fraction form
    10,770.86/14,864.13 = 6,522.71/x
  3. Step 3: Cross multiply
    10,770.86x = 14,864.13 × 6,522.71
  4. Step 4: Simplify right side
    10,770.86x = 96,954,409.39
  5. Step 5: Solve for x
    x = 96,954,409.39/10,770.86
  6. Step 6: Final answer
    x = 9,001.55

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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.