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Finding the Fourth Proportional to 7,322.47, 10,103.73 and 4,178.05

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Solution

The fourth proportional to 7,322.47, 10,103.73 and 4,178.05 is: 5,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.47 : 10,103.73 = 4,178.05 : x
  2. Step 2: Convert to fraction form
    7,322.47/10,103.73 = 4,178.05/x
  3. Step 3: Cross multiply
    7,322.47x = 10,103.73 × 4,178.05
  4. Step 4: Simplify right side
    7,322.47x = 42,213,889.13
  5. Step 5: Solve for x
    x = 42,213,889.13/7,322.47
  6. Step 6: Final answer
    x = 5,764.98

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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.