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Finding the Fourth Proportional to 10,587.94, 15,884.35 and 3,662.44

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Solution

The fourth proportional to 10,587.94, 15,884.35 and 3,662.44 is: 5,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.94 : 15,884.35 = 3,662.44 : x
  2. Step 2: Convert to fraction form
    10,587.94/15,884.35 = 3,662.44/x
  3. Step 3: Cross multiply
    10,587.94x = 15,884.35 × 3,662.44
  4. Step 4: Simplify right side
    10,587.94x = 58,175,429.95
  5. Step 5: Solve for x
    x = 58,175,429.95/10,587.94
  6. Step 6: Final answer
    x = 5,494.50

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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.