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Finding the Fourth Proportional to 10,157.68, 14,009.70 and 6,799.42

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Solution

The fourth proportional to 10,157.68, 14,009.70 and 6,799.42 is: 9,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.68 : 14,009.70 = 6,799.42 : x
  2. Step 2: Convert to fraction form
    10,157.68/14,009.70 = 6,799.42/x
  3. Step 3: Cross multiply
    10,157.68x = 14,009.70 × 6,799.42
  4. Step 4: Simplify right side
    10,157.68x = 95,257,834.37
  5. Step 5: Solve for x
    x = 95,257,834.37/10,157.68
  6. Step 6: Final answer
    x = 9,377.91

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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.