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Finding the Fourth Proportional to 7,914.42, 10,921.90 and 4,771.22

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Solution

The fourth proportional to 7,914.42, 10,921.90 and 4,771.22 is: 6,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.42 : 10,921.90 = 4,771.22 : x
  2. Step 2: Convert to fraction form
    7,914.42/10,921.90 = 4,771.22/x
  3. Step 3: Cross multiply
    7,914.42x = 10,921.90 × 4,771.22
  4. Step 4: Simplify right side
    7,914.42x = 52,110,733.11
  5. Step 5: Solve for x
    x = 52,110,733.11/7,914.42
  6. Step 6: Final answer
    x = 6,584.28

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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.