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Finding the Fourth Proportional to 11,596.56, 15,997.32 and 7,400.40

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Solution

The fourth proportional to 11,596.56, 15,997.32 and 7,400.40 is: 10,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.56 : 15,997.32 = 7,400.40 : x
  2. Step 2: Convert to fraction form
    11,596.56/15,997.32 = 7,400.40/x
  3. Step 3: Cross multiply
    11,596.56x = 15,997.32 × 7,400.40
  4. Step 4: Simplify right side
    11,596.56x = 118,386,566.93
  5. Step 5: Solve for x
    x = 118,386,566.93/11,596.56
  6. Step 6: Final answer
    x = 10,208.77

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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.