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Finding the Fourth Proportional to 25,076.48, 37,618.08 and 7,544

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Solution

The fourth proportional to 25,076.48, 37,618.08 and 7,544 is: 11,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,076.48 : 37,618.08 = 7,544 : x
  2. Step 2: Convert to fraction form
    25,076.48/37,618.08 = 7,544/x
  3. Step 3: Cross multiply
    25,076.48x = 37,618.08 × 7,544
  4. Step 4: Simplify right side
    25,076.48x = 283,790,795.52
  5. Step 5: Solve for x
    x = 283,790,795.52/25,076.48
  6. Step 6: Final answer
    x = 11,317.01

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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.