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Finding the Fourth Proportional to 10,032.26, 13,843.98 and 5,555.66

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Solution

The fourth proportional to 10,032.26, 13,843.98 and 5,555.66 is: 7,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.26 : 13,843.98 = 5,555.66 : x
  2. Step 2: Convert to fraction form
    10,032.26/13,843.98 = 5,555.66/x
  3. Step 3: Cross multiply
    10,032.26x = 13,843.98 × 5,555.66
  4. Step 4: Simplify right side
    10,032.26x = 76,912,376.71
  5. Step 5: Solve for x
    x = 76,912,376.71/10,032.26
  6. Step 6: Final answer
    x = 7,666.51

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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.