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Finding the Fourth Proportional to 7,309.93, 10,087.73 and 4,166.10

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Solution

The fourth proportional to 7,309.93, 10,087.73 and 4,166.10 is: 5,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.93 : 10,087.73 = 4,166.10 : x
  2. Step 2: Convert to fraction form
    7,309.93/10,087.73 = 4,166.10/x
  3. Step 3: Cross multiply
    7,309.93x = 10,087.73 × 4,166.10
  4. Step 4: Simplify right side
    7,309.93x = 42,026,491.95
  5. Step 5: Solve for x
    x = 42,026,491.95/7,309.93
  6. Step 6: Final answer
    x = 5,749.23

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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.