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Finding the Fourth Proportional to 10,789.42, 14,888.38 and 7,958.34

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Solution

The fourth proportional to 10,789.42, 14,888.38 and 7,958.34 is: 10,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.42 : 14,888.38 = 7,958.34 : x
  2. Step 2: Convert to fraction form
    10,789.42/14,888.38 = 7,958.34/x
  3. Step 3: Cross multiply
    10,789.42x = 14,888.38 × 7,958.34
  4. Step 4: Simplify right side
    10,789.42x = 118,486,790.09
  5. Step 5: Solve for x
    x = 118,486,790.09/10,789.42
  6. Step 6: Final answer
    x = 10,981.76

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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.