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Finding the Fourth Proportional to 10,770.67, 14,864.34 and 6,055.66

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Solution

The fourth proportional to 10,770.67, 14,864.34 and 6,055.66 is: 8,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.67 : 14,864.34 = 6,055.66 : x
  2. Step 2: Convert to fraction form
    10,770.67/14,864.34 = 6,055.66/x
  3. Step 3: Cross multiply
    10,770.67x = 14,864.34 × 6,055.66
  4. Step 4: Simplify right side
    10,770.67x = 90,013,389.16
  5. Step 5: Solve for x
    x = 90,013,389.16/10,770.67
  6. Step 6: Final answer
    x = 8,357.27

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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.