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Finding the Fourth Proportional to 11,285.16, 15,572.98 and 6,249.04

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Solution

The fourth proportional to 11,285.16, 15,572.98 and 6,249.04 is: 8,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.16 : 15,572.98 = 6,249.04 : x
  2. Step 2: Convert to fraction form
    11,285.16/15,572.98 = 6,249.04/x
  3. Step 3: Cross multiply
    11,285.16x = 15,572.98 × 6,249.04
  4. Step 4: Simplify right side
    11,285.16x = 97,316,174.94
  5. Step 5: Solve for x
    x = 97,316,174.94/11,285.16
  6. Step 6: Final answer
    x = 8,623.38

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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.