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Finding the Fourth Proportional to 7,570.68, 10,438.59 and 5,181.80

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Solution

The fourth proportional to 7,570.68, 10,438.59 and 5,181.80 is: 7,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.68 : 10,438.59 = 5,181.80 : x
  2. Step 2: Convert to fraction form
    7,570.68/10,438.59 = 5,181.80/x
  3. Step 3: Cross multiply
    7,570.68x = 10,438.59 × 5,181.80
  4. Step 4: Simplify right side
    7,570.68x = 54,090,633.47
  5. Step 5: Solve for x
    x = 54,090,633.47/7,570.68
  6. Step 6: Final answer
    x = 7,144.76

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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.