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Finding the Fourth Proportional to 10,279.80, 14,186.11 and 5,564.07

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Solution

The fourth proportional to 10,279.80, 14,186.11 and 5,564.07 is: 7,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.80 : 14,186.11 = 5,564.07 : x
  2. Step 2: Convert to fraction form
    10,279.80/14,186.11 = 5,564.07/x
  3. Step 3: Cross multiply
    10,279.80x = 14,186.11 × 5,564.07
  4. Step 4: Simplify right side
    10,279.80x = 78,932,509.07
  5. Step 5: Solve for x
    x = 78,932,509.07/10,279.80
  6. Step 6: Final answer
    x = 7,678.41

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