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Finding the Fourth Proportional to 25,072.48, 37,612.08 and 7,540

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Solution

The fourth proportional to 25,072.48, 37,612.08 and 7,540 is: 11,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,072.48 : 37,612.08 = 7,540 : x
  2. Step 2: Convert to fraction form
    25,072.48/37,612.08 = 7,540/x
  3. Step 3: Cross multiply
    25,072.48x = 37,612.08 × 7,540
  4. Step 4: Simplify right side
    25,072.48x = 283,595,083.20
  5. Step 5: Solve for x
    x = 283,595,083.20/25,072.48
  6. Step 6: Final answer
    x = 11,311.01

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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.