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Finding the Fourth Proportional to 10,159.88, 14,020.94 and 5,683.54

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Solution

The fourth proportional to 10,159.88, 14,020.94 and 5,683.54 is: 7,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.88 : 14,020.94 = 5,683.54 : x
  2. Step 2: Convert to fraction form
    10,159.88/14,020.94 = 5,683.54/x
  3. Step 3: Cross multiply
    10,159.88x = 14,020.94 × 5,683.54
  4. Step 4: Simplify right side
    10,159.88x = 79,688,573.33
  5. Step 5: Solve for x
    x = 79,688,573.33/10,159.88
  6. Step 6: Final answer
    x = 7,843.46

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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.