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Finding the Fourth Proportional to 7,570.14, 11,350.11 and 3,869.34

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Solution

The fourth proportional to 7,570.14, 11,350.11 and 3,869.34 is: 5,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.14 : 11,350.11 = 3,869.34 : x
  2. Step 2: Convert to fraction form
    7,570.14/11,350.11 = 3,869.34/x
  3. Step 3: Cross multiply
    7,570.14x = 11,350.11 × 3,869.34
  4. Step 4: Simplify right side
    7,570.14x = 43,917,434.63
  5. Step 5: Solve for x
    x = 43,917,434.63/7,570.14
  6. Step 6: Final answer
    x = 5,801.40

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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.