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Finding the Fourth Proportional to 10,723.98, 16,068.18 and 7,588.44

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Solution

The fourth proportional to 10,723.98, 16,068.18 and 7,588.44 is: 11,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.98 : 16,068.18 = 7,588.44 : x
  2. Step 2: Convert to fraction form
    10,723.98/16,068.18 = 7,588.44/x
  3. Step 3: Cross multiply
    10,723.98x = 16,068.18 × 7,588.44
  4. Step 4: Simplify right side
    10,723.98x = 121,932,301.56
  5. Step 5: Solve for x
    x = 121,932,301.56/10,723.98
  6. Step 6: Final answer
    x = 11,370.07

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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.