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Finding the Fourth Proportional to 7,111.69, 10,658.89 and 5,032.30

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Solution

The fourth proportional to 7,111.69, 10,658.89 and 5,032.30 is: 7,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.69 : 10,658.89 = 5,032.30 : x
  2. Step 2: Convert to fraction form
    7,111.69/10,658.89 = 5,032.30/x
  3. Step 3: Cross multiply
    7,111.69x = 10,658.89 × 5,032.30
  4. Step 4: Simplify right side
    7,111.69x = 53,638,732.15
  5. Step 5: Solve for x
    x = 53,638,732.15/7,111.69
  6. Step 6: Final answer
    x = 7,542.33

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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.