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Finding the Fourth Proportional to 11,271.62, 16,906.62 and 5,032.20

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Solution

The fourth proportional to 11,271.62, 16,906.62 and 5,032.20 is: 7,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271.62 : 16,906.62 = 5,032.20 : x
  2. Step 2: Convert to fraction form
    11,271.62/16,906.62 = 5,032.20/x
  3. Step 3: Cross multiply
    11,271.62x = 16,906.62 × 5,032.20
  4. Step 4: Simplify right side
    11,271.62x = 85,077,493.16
  5. Step 5: Solve for x
    x = 85,077,493.16/11,271.62
  6. Step 6: Final answer
    x = 7,547.94

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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.