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Finding the Fourth Proportional to 25,246.88, 37,875.72 and 7,718

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Solution

The fourth proportional to 25,246.88, 37,875.72 and 7,718 is: 11,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,246.88 : 37,875.72 = 7,718 : x
  2. Step 2: Convert to fraction form
    25,246.88/37,875.72 = 7,718/x
  3. Step 3: Cross multiply
    25,246.88x = 37,875.72 × 7,718
  4. Step 4: Simplify right side
    25,246.88x = 292,324,806.96
  5. Step 5: Solve for x
    x = 292,324,806.96/25,246.88
  6. Step 6: Final answer
    x = 11,578.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.