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Finding the Fourth Proportional to 8,761.03, 13,141 and 3,566.77

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Solution

The fourth proportional to 8,761.03, 13,141 and 3,566.77 is: 5,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.03 : 13,141 = 3,566.77 : x
  2. Step 2: Convert to fraction form
    8,761.03/13,141 = 3,566.77/x
  3. Step 3: Cross multiply
    8,761.03x = 13,141 × 3,566.77
  4. Step 4: Simplify right side
    8,761.03x = 46,870,924.57
  5. Step 5: Solve for x
    x = 46,870,924.57/8,761.03
  6. Step 6: Final answer
    x = 5,349.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.