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Finding the Fourth Proportional to 10,770.22, 16,076.75 and 9,458.02

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Solution

The fourth proportional to 10,770.22, 16,076.75 and 9,458.02 is: 14,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.22 : 16,076.75 = 9,458.02 : x
  2. Step 2: Convert to fraction form
    10,770.22/16,076.75 = 9,458.02/x
  3. Step 3: Cross multiply
    10,770.22x = 16,076.75 × 9,458.02
  4. Step 4: Simplify right side
    10,770.22x = 152,054,223.04
  5. Step 5: Solve for x
    x = 152,054,223.04/10,770.22
  6. Step 6: Final answer
    x = 14,118.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.