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Finding the Fourth Proportional to 8,547.11, 11,800.36 and 6,553.83

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Solution

The fourth proportional to 8,547.11, 11,800.36 and 6,553.83 is: 9,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.11 : 11,800.36 = 6,553.83 : x
  2. Step 2: Convert to fraction form
    8,547.11/11,800.36 = 6,553.83/x
  3. Step 3: Cross multiply
    8,547.11x = 11,800.36 × 6,553.83
  4. Step 4: Simplify right side
    8,547.11x = 77,337,553.38
  5. Step 5: Solve for x
    x = 77,337,553.38/8,547.11
  6. Step 6: Final answer
    x = 9,048.39

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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.