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Finding the Fourth Proportional to 6,157.80, 9,212.40 and 5,345.10

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Solution

The fourth proportional to 6,157.80, 9,212.40 and 5,345.10 is: 7,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.80 : 9,212.40 = 5,345.10 : x
  2. Step 2: Convert to fraction form
    6,157.80/9,212.40 = 5,345.10/x
  3. Step 3: Cross multiply
    6,157.80x = 9,212.40 × 5,345.10
  4. Step 4: Simplify right side
    6,157.80x = 49,241,199.24
  5. Step 5: Solve for x
    x = 49,241,199.24/6,157.80
  6. Step 6: Final answer
    x = 7,996.56

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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.