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Finding the Fourth Proportional to 7,309.90, 10,087.50 and 4,165.75

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Solution

The fourth proportional to 7,309.90, 10,087.50 and 4,165.75 is: 5,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.90 : 10,087.50 = 4,165.75 : x
  2. Step 2: Convert to fraction form
    7,309.90/10,087.50 = 4,165.75/x
  3. Step 3: Cross multiply
    7,309.90x = 10,087.50 × 4,165.75
  4. Step 4: Simplify right side
    7,309.90x = 42,022,003.13
  5. Step 5: Solve for x
    x = 42,022,003.13/7,309.90
  6. Step 6: Final answer
    x = 5,748.64

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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.