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Finding the Fourth Proportional to 7,404, 10,216.13 and 4,573.82

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Solution

The fourth proportional to 7,404, 10,216.13 and 4,573.82 is: 6,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404 : 10,216.13 = 4,573.82 : x
  2. Step 2: Convert to fraction form
    7,404/10,216.13 = 4,573.82/x
  3. Step 3: Cross multiply
    7,404x = 10,216.13 × 4,573.82
  4. Step 4: Simplify right side
    7,404x = 46,726,665.77
  5. Step 5: Solve for x
    x = 46,726,665.77/7,404
  6. Step 6: Final answer
    x = 6,311.00

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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.