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Finding the Fourth Proportional to 11,588.80, 15,995.16 and 6,555.94

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Solution

The fourth proportional to 11,588.80, 15,995.16 and 6,555.94 is: 9,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.80 : 15,995.16 = 6,555.94 : x
  2. Step 2: Convert to fraction form
    11,588.80/15,995.16 = 6,555.94/x
  3. Step 3: Cross multiply
    11,588.80x = 15,995.16 × 6,555.94
  4. Step 4: Simplify right side
    11,588.80x = 104,863,309.25
  5. Step 5: Solve for x
    x = 104,863,309.25/11,588.80
  6. Step 6: Final answer
    x = 9,048.68

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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.