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Finding the Fourth Proportional to 7,934.32, 11,901 and 2,090.92

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Solution

The fourth proportional to 7,934.32, 11,901 and 2,090.92 is: 3,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.32 : 11,901 = 2,090.92 : x
  2. Step 2: Convert to fraction form
    7,934.32/11,901 = 2,090.92/x
  3. Step 3: Cross multiply
    7,934.32x = 11,901 × 2,090.92
  4. Step 4: Simplify right side
    7,934.32x = 24,884,038.92
  5. Step 5: Solve for x
    x = 24,884,038.92/7,934.32
  6. Step 6: Final answer
    x = 3,136.25

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