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Finding the Fourth Proportional to 10,101.65, 13,940.24 and 5,625.45

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Solution

The fourth proportional to 10,101.65, 13,940.24 and 5,625.45 is: 7,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.65 : 13,940.24 = 5,625.45 : x
  2. Step 2: Convert to fraction form
    10,101.65/13,940.24 = 5,625.45/x
  3. Step 3: Cross multiply
    10,101.65x = 13,940.24 × 5,625.45
  4. Step 4: Simplify right side
    10,101.65x = 78,420,094.98
  5. Step 5: Solve for x
    x = 78,420,094.98/10,101.65
  6. Step 6: Final answer
    x = 7,763.10

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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.