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Finding the Fourth Proportional to 10,987.44, 16,484.16 and 3,968.28

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Solution

The fourth proportional to 10,987.44, 16,484.16 and 3,968.28 is: 5,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.44 : 16,484.16 = 3,968.28 : x
  2. Step 2: Convert to fraction form
    10,987.44/16,484.16 = 3,968.28/x
  3. Step 3: Cross multiply
    10,987.44x = 16,484.16 × 3,968.28
  4. Step 4: Simplify right side
    10,987.44x = 65,413,762.44
  5. Step 5: Solve for x
    x = 65,413,762.44/10,987.44
  6. Step 6: Final answer
    x = 5,953.50

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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.