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Finding the Fourth Proportional to 7,420.40, 10,238.84 and 4,275.98

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Solution

The fourth proportional to 7,420.40, 10,238.84 and 4,275.98 is: 5,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.40 : 10,238.84 = 4,275.98 : x
  2. Step 2: Convert to fraction form
    7,420.40/10,238.84 = 4,275.98/x
  3. Step 3: Cross multiply
    7,420.40x = 10,238.84 × 4,275.98
  4. Step 4: Simplify right side
    7,420.40x = 43,781,023.87
  5. Step 5: Solve for x
    x = 43,781,023.87/7,420.40
  6. Step 6: Final answer
    x = 5,900.09

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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.