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Finding the Fourth Proportional to 7,403.50, 10,216.83 and 4,091.50

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Solution

The fourth proportional to 7,403.50, 10,216.83 and 4,091.50 is: 5,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.50 : 10,216.83 = 4,091.50 : x
  2. Step 2: Convert to fraction form
    7,403.50/10,216.83 = 4,091.50/x
  3. Step 3: Cross multiply
    7,403.50x = 10,216.83 × 4,091.50
  4. Step 4: Simplify right side
    7,403.50x = 41,802,159.95
  5. Step 5: Solve for x
    x = 41,802,159.95/7,403.50
  6. Step 6: Final answer
    x = 5,646.27

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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.