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Finding the Fourth Proportional to 10,987.44, 16,492.12 and 5,148.24

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Solution

The fourth proportional to 10,987.44, 16,492.12 and 5,148.24 is: 7,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.44 : 16,492.12 = 5,148.24 : x
  2. Step 2: Convert to fraction form
    10,987.44/16,492.12 = 5,148.24/x
  3. Step 3: Cross multiply
    10,987.44x = 16,492.12 × 5,148.24
  4. Step 4: Simplify right side
    10,987.44x = 84,905,391.87
  5. Step 5: Solve for x
    x = 84,905,391.87/10,987.44
  6. Step 6: Final answer
    x = 7,727.50

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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.