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Finding the Fourth Proportional to 10,297.92, 14,211.12 and 5,582.16

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Solution

The fourth proportional to 10,297.92, 14,211.12 and 5,582.16 is: 7,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.92 : 14,211.12 = 5,582.16 : x
  2. Step 2: Convert to fraction form
    10,297.92/14,211.12 = 5,582.16/x
  3. Step 3: Cross multiply
    10,297.92x = 14,211.12 × 5,582.16
  4. Step 4: Simplify right side
    10,297.92x = 79,328,745.62
  5. Step 5: Solve for x
    x = 79,328,745.62/10,297.92
  6. Step 6: Final answer
    x = 7,703.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.