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Finding the Fourth Proportional to 7,164.48, 10,731.03 and 5,078.15

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Solution

The fourth proportional to 7,164.48, 10,731.03 and 5,078.15 is: 7,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.48 : 10,731.03 = 5,078.15 : x
  2. Step 2: Convert to fraction form
    7,164.48/10,731.03 = 5,078.15/x
  3. Step 3: Cross multiply
    7,164.48x = 10,731.03 × 5,078.15
  4. Step 4: Simplify right side
    7,164.48x = 54,493,783.65
  5. Step 5: Solve for x
    x = 54,493,783.65/7,164.48
  6. Step 6: Final answer
    x = 7,606.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.