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Finding the Fourth Proportional to 7,564.48, 11,347.20 and 3,862.56

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Solution

The fourth proportional to 7,564.48, 11,347.20 and 3,862.56 is: 5,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.48 : 11,347.20 = 3,862.56 : x
  2. Step 2: Convert to fraction form
    7,564.48/11,347.20 = 3,862.56/x
  3. Step 3: Cross multiply
    7,564.48x = 11,347.20 × 3,862.56
  4. Step 4: Simplify right side
    7,564.48x = 43,829,240.83
  5. Step 5: Solve for x
    x = 43,829,240.83/7,564.48
  6. Step 6: Final answer
    x = 5,794.09

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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.