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Finding the Fourth Proportional to 10,924.68, 15,073.80 and 6,944.34

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Solution

The fourth proportional to 10,924.68, 15,073.80 and 6,944.34 is: 9,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.68 : 15,073.80 = 6,944.34 : x
  2. Step 2: Convert to fraction form
    10,924.68/15,073.80 = 6,944.34/x
  3. Step 3: Cross multiply
    10,924.68x = 15,073.80 × 6,944.34
  4. Step 4: Simplify right side
    10,924.68x = 104,677,592.29
  5. Step 5: Solve for x
    x = 104,677,592.29/10,924.68
  6. Step 6: Final answer
    x = 9,581.75

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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.