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Finding the Fourth Proportional to 7,309.67, 10,087.35 and 4,165.88

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Solution

The fourth proportional to 7,309.67, 10,087.35 and 4,165.88 is: 5,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.67 : 10,087.35 = 4,165.88 : x
  2. Step 2: Convert to fraction form
    7,309.67/10,087.35 = 4,165.88/x
  3. Step 3: Cross multiply
    7,309.67x = 10,087.35 × 4,165.88
  4. Step 4: Simplify right side
    7,309.67x = 42,022,689.62
  5. Step 5: Solve for x
    x = 42,022,689.62/7,309.67
  6. Step 6: Final answer
    x = 5,748.92

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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.