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Finding the Fourth Proportional to 10,140.01, 13,993.07 and 5,663.83

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Solution

The fourth proportional to 10,140.01, 13,993.07 and 5,663.83 is: 7,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.01 : 13,993.07 = 5,663.83 : x
  2. Step 2: Convert to fraction form
    10,140.01/13,993.07 = 5,663.83/x
  3. Step 3: Cross multiply
    10,140.01x = 13,993.07 × 5,663.83
  4. Step 4: Simplify right side
    10,140.01x = 79,254,355.50
  5. Step 5: Solve for x
    x = 79,254,355.50/10,140.01
  6. Step 6: Final answer
    x = 7,816.00

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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.