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Finding the Fourth Proportional to 10,279.80, 14,186.10 and 5,564.06

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Solution

The fourth proportional to 10,279.80, 14,186.10 and 5,564.06 is: 7,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.80 : 14,186.10 = 5,564.06 : x
  2. Step 2: Convert to fraction form
    10,279.80/14,186.10 = 5,564.06/x
  3. Step 3: Cross multiply
    10,279.80x = 14,186.10 × 5,564.06
  4. Step 4: Simplify right side
    10,279.80x = 78,932,311.57
  5. Step 5: Solve for x
    x = 78,932,311.57/10,279.80
  6. Step 6: Final answer
    x = 7,678.39

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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.