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Finding the Fourth Proportional to 7,588.98, 11,383.65 and 2,042.82

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Solution

The fourth proportional to 7,588.98, 11,383.65 and 2,042.82 is: 3,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.98 : 11,383.65 = 2,042.82 : x
  2. Step 2: Convert to fraction form
    7,588.98/11,383.65 = 2,042.82/x
  3. Step 3: Cross multiply
    7,588.98x = 11,383.65 × 2,042.82
  4. Step 4: Simplify right side
    7,588.98x = 23,254,747.89
  5. Step 5: Solve for x
    x = 23,254,747.89/7,588.98
  6. Step 6: Final answer
    x = 3,064.28

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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.