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Finding the Fourth Proportional to 11,597.57, 16,005.44 and 6,561.79

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Solution

The fourth proportional to 11,597.57, 16,005.44 and 6,561.79 is: 9,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.57 : 16,005.44 = 6,561.79 : x
  2. Step 2: Convert to fraction form
    11,597.57/16,005.44 = 6,561.79/x
  3. Step 3: Cross multiply
    11,597.57x = 16,005.44 × 6,561.79
  4. Step 4: Simplify right side
    11,597.57x = 105,024,223.30
  5. Step 5: Solve for x
    x = 105,024,223.30/11,597.57
  6. Step 6: Final answer
    x = 9,055.71

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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.