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Finding the Fourth Proportional to 10,663.22, 15,975.39 and 7,859

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Solution

The fourth proportional to 10,663.22, 15,975.39 and 7,859 is: 11,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.22 : 15,975.39 = 7,859 : x
  2. Step 2: Convert to fraction form
    10,663.22/15,975.39 = 7,859/x
  3. Step 3: Cross multiply
    10,663.22x = 15,975.39 × 7,859
  4. Step 4: Simplify right side
    10,663.22x = 125,550,590.01
  5. Step 5: Solve for x
    x = 125,550,590.01/10,663.22
  6. Step 6: Final answer
    x = 11,774.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.