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Finding the Fourth Proportional to 7,309.40, 10,087.02 and 4,165.76

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Solution

The fourth proportional to 7,309.40, 10,087.02 and 4,165.76 is: 5,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.40 : 10,087.02 = 4,165.76 : x
  2. Step 2: Convert to fraction form
    7,309.40/10,087.02 = 4,165.76/x
  3. Step 3: Cross multiply
    7,309.40x = 10,087.02 × 4,165.76
  4. Step 4: Simplify right side
    7,309.40x = 42,020,104.44
  5. Step 5: Solve for x
    x = 42,020,104.44/7,309.40
  6. Step 6: Final answer
    x = 5,748.78

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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.