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Finding the Fourth Proportional to 15,175.25, 22,762.86 and 4,787

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Solution

The fourth proportional to 15,175.25, 22,762.86 and 4,787 is: 7,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.25 : 22,762.86 = 4,787 : x
  2. Step 2: Convert to fraction form
    15,175.25/22,762.86 = 4,787/x
  3. Step 3: Cross multiply
    15,175.25x = 22,762.86 × 4,787
  4. Step 4: Simplify right side
    15,175.25x = 108,965,810.82
  5. Step 5: Solve for x
    x = 108,965,810.82/15,175.25
  6. Step 6: Final answer
    x = 7,180.50

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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.