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Finding the Fourth Proportional to 7,309.62, 10,087.23 and 4,165.77

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Solution

The fourth proportional to 7,309.62, 10,087.23 and 4,165.77 is: 5,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.62 : 10,087.23 = 4,165.77 : x
  2. Step 2: Convert to fraction form
    7,309.62/10,087.23 = 4,165.77/x
  3. Step 3: Cross multiply
    7,309.62x = 10,087.23 × 4,165.77
  4. Step 4: Simplify right side
    7,309.62x = 42,021,080.12
  5. Step 5: Solve for x
    x = 42,021,080.12/7,309.62
  6. Step 6: Final answer
    x = 5,748.74

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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.