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Finding the Fourth Proportional to 10,140.64, 13,993.93 and 5,664.46

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Solution

The fourth proportional to 10,140.64, 13,993.93 and 5,664.46 is: 7,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.64 : 13,993.93 = 5,664.46 : x
  2. Step 2: Convert to fraction form
    10,140.64/13,993.93 = 5,664.46/x
  3. Step 3: Cross multiply
    10,140.64x = 13,993.93 × 5,664.46
  4. Step 4: Simplify right side
    10,140.64x = 79,267,986.76
  5. Step 5: Solve for x
    x = 79,267,986.76/10,140.64
  6. Step 6: Final answer
    x = 7,816.86

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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.