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Finding the Fourth Proportional to 7,400.79, 10,213.98 and 4,214.85

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Solution

The fourth proportional to 7,400.79, 10,213.98 and 4,214.85 is: 5,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.79 : 10,213.98 = 4,214.85 : x
  2. Step 2: Convert to fraction form
    7,400.79/10,213.98 = 4,214.85/x
  3. Step 3: Cross multiply
    7,400.79x = 10,213.98 × 4,214.85
  4. Step 4: Simplify right side
    7,400.79x = 43,050,393.60
  5. Step 5: Solve for x
    x = 43,050,393.60/7,400.79
  6. Step 6: Final answer
    x = 5,817.00

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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.