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Finding the Fourth Proportional to 11,223.62, 16,825.24 and 7,051

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Solution

The fourth proportional to 11,223.62, 16,825.24 and 7,051 is: 10,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.62 : 16,825.24 = 7,051 : x
  2. Step 2: Convert to fraction form
    11,223.62/16,825.24 = 7,051/x
  3. Step 3: Cross multiply
    11,223.62x = 16,825.24 × 7,051
  4. Step 4: Simplify right side
    11,223.62x = 118,634,767.24
  5. Step 5: Solve for x
    x = 118,634,767.24/11,223.62
  6. Step 6: Final answer
    x = 10,570.10

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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.