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Finding the Fourth Proportional to 6,587.26, 9,866.28 and 4,732.82

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Solution

The fourth proportional to 6,587.26, 9,866.28 and 4,732.82 is: 7,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.26 : 9,866.28 = 4,732.82 : x
  2. Step 2: Convert to fraction form
    6,587.26/9,866.28 = 4,732.82/x
  3. Step 3: Cross multiply
    6,587.26x = 9,866.28 × 4,732.82
  4. Step 4: Simplify right side
    6,587.26x = 46,695,327.31
  5. Step 5: Solve for x
    x = 46,695,327.31/6,587.26
  6. Step 6: Final answer
    x = 7,088.73

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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.