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Finding the Fourth Proportional to 25,240.70, 37,864.71 and 7,708.25

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Solution

The fourth proportional to 25,240.70, 37,864.71 and 7,708.25 is: 11,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,240.70 : 37,864.71 = 7,708.25 : x
  2. Step 2: Convert to fraction form
    25,240.70/37,864.71 = 7,708.25/x
  3. Step 3: Cross multiply
    25,240.70x = 37,864.71 × 7,708.25
  4. Step 4: Simplify right side
    25,240.70x = 291,870,461.53
  5. Step 5: Solve for x
    x = 291,870,461.53/25,240.70
  6. Step 6: Final answer
    x = 11,563.49

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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.