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Finding the Fourth Proportional to 10,279.77, 14,186.08 and 5,564.05

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Solution

The fourth proportional to 10,279.77, 14,186.08 and 5,564.05 is: 7,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.77 : 14,186.08 = 5,564.05 : x
  2. Step 2: Convert to fraction form
    10,279.77/14,186.08 = 5,564.05/x
  3. Step 3: Cross multiply
    10,279.77x = 14,186.08 × 5,564.05
  4. Step 4: Simplify right side
    10,279.77x = 78,932,058.42
  5. Step 5: Solve for x
    x = 78,932,058.42/10,279.77
  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.