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Finding the Fourth Proportional to 7,176.31, 9,905.03 and 5,662.96

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Solution

The fourth proportional to 7,176.31, 9,905.03 and 5,662.96 is: 7,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.31 : 9,905.03 = 5,662.96 : x
  2. Step 2: Convert to fraction form
    7,176.31/9,905.03 = 5,662.96/x
  3. Step 3: Cross multiply
    7,176.31x = 9,905.03 × 5,662.96
  4. Step 4: Simplify right side
    7,176.31x = 56,091,788.69
  5. Step 5: Solve for x
    x = 56,091,788.69/7,176.31
  6. Step 6: Final answer
    x = 7,816.24

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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.