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Finding the Fourth Proportional to 7,593.77, 11,381.34 and 4,309.63

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Solution

The fourth proportional to 7,593.77, 11,381.34 and 4,309.63 is: 6,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,593.77 : 11,381.34 = 4,309.63 : x
  2. Step 2: Convert to fraction form
    7,593.77/11,381.34 = 4,309.63/x
  3. Step 3: Cross multiply
    7,593.77x = 11,381.34 × 4,309.63
  4. Step 4: Simplify right side
    7,593.77x = 49,049,364.30
  5. Step 5: Solve for x
    x = 49,049,364.30/7,593.77
  6. Step 6: Final answer
    x = 6,459.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.