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Finding the Fourth Proportional to 10,003.22, 13,795.47 and 8,330.16

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Solution

The fourth proportional to 10,003.22, 13,795.47 and 8,330.16 is: 11,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.22 : 13,795.47 = 8,330.16 : x
  2. Step 2: Convert to fraction form
    10,003.22/13,795.47 = 8,330.16/x
  3. Step 3: Cross multiply
    10,003.22x = 13,795.47 × 8,330.16
  4. Step 4: Simplify right side
    10,003.22x = 114,918,472.38
  5. Step 5: Solve for x
    x = 114,918,472.38/10,003.22
  6. Step 6: Final answer
    x = 11,488.15

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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.