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Finding the Fourth Proportional to 7,536.87, 11,307.01 and 2,471.33

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Solution

The fourth proportional to 7,536.87, 11,307.01 and 2,471.33 is: 3,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.87 : 11,307.01 = 2,471.33 : x
  2. Step 2: Convert to fraction form
    7,536.87/11,307.01 = 2,471.33/x
  3. Step 3: Cross multiply
    7,536.87x = 11,307.01 × 2,471.33
  4. Step 4: Simplify right side
    7,536.87x = 27,943,365.69
  5. Step 5: Solve for x
    x = 27,943,365.69/7,536.87
  6. Step 6: Final answer
    x = 3,707.56

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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.