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Finding the Fourth Proportional to 10,037.48, 15,028.41 and 7,564.82

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Solution

The fourth proportional to 10,037.48, 15,028.41 and 7,564.82 is: 11,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.48 : 15,028.41 = 7,564.82 : x
  2. Step 2: Convert to fraction form
    10,037.48/15,028.41 = 7,564.82/x
  3. Step 3: Cross multiply
    10,037.48x = 15,028.41 × 7,564.82
  4. Step 4: Simplify right side
    10,037.48x = 113,687,216.54
  5. Step 5: Solve for x
    x = 113,687,216.54/10,037.48
  6. Step 6: Final answer
    x = 11,326.27

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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.