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Finding the Fourth Proportional to 8,374.69, 12,564.01 and 2,531.25

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Solution

The fourth proportional to 8,374.69, 12,564.01 and 2,531.25 is: 3,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.69 : 12,564.01 = 2,531.25 : x
  2. Step 2: Convert to fraction form
    8,374.69/12,564.01 = 2,531.25/x
  3. Step 3: Cross multiply
    8,374.69x = 12,564.01 × 2,531.25
  4. Step 4: Simplify right side
    8,374.69x = 31,802,653.48
  5. Step 5: Solve for x
    x = 31,802,653.48/8,374.69
  6. Step 6: Final answer
    x = 3,797.47

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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.