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Finding the Fourth Proportional to 10,363.54, 14,301.84 and 5,647.90

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Solution

The fourth proportional to 10,363.54, 14,301.84 and 5,647.90 is: 7,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.54 : 14,301.84 = 5,647.90 : x
  2. Step 2: Convert to fraction form
    10,363.54/14,301.84 = 5,647.90/x
  3. Step 3: Cross multiply
    10,363.54x = 14,301.84 × 5,647.90
  4. Step 4: Simplify right side
    10,363.54x = 80,775,362.14
  5. Step 5: Solve for x
    x = 80,775,362.14/10,363.54
  6. Step 6: Final answer
    x = 7,794.19

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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.