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Finding the Fourth Proportional to 7,108.96, 10,654.80 and 5,029.57

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Solution

The fourth proportional to 7,108.96, 10,654.80 and 5,029.57 is: 7,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.96 : 10,654.80 = 5,029.57 : x
  2. Step 2: Convert to fraction form
    7,108.96/10,654.80 = 5,029.57/x
  3. Step 3: Cross multiply
    7,108.96x = 10,654.80 × 5,029.57
  4. Step 4: Simplify right side
    7,108.96x = 53,588,984.01
  5. Step 5: Solve for x
    x = 53,588,984.01/7,108.96
  6. Step 6: Final answer
    x = 7,538.23

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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.