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Finding the Fourth Proportional to 7,398.64, 10,192.75 and 5,156.44

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Solution

The fourth proportional to 7,398.64, 10,192.75 and 5,156.44 is: 7,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.64 : 10,192.75 = 5,156.44 : x
  2. Step 2: Convert to fraction form
    7,398.64/10,192.75 = 5,156.44/x
  3. Step 3: Cross multiply
    7,398.64x = 10,192.75 × 5,156.44
  4. Step 4: Simplify right side
    7,398.64x = 52,558,303.81
  5. Step 5: Solve for x
    x = 52,558,303.81/7,398.64
  6. Step 6: Final answer
    x = 7,103.78

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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.