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Finding the Fourth Proportional to 10,140.34, 13,994.21 and 5,664.19

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Solution

The fourth proportional to 10,140.34, 13,994.21 and 5,664.19 is: 7,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.34 : 13,994.21 = 5,664.19 : x
  2. Step 2: Convert to fraction form
    10,140.34/13,994.21 = 5,664.19/x
  3. Step 3: Cross multiply
    10,140.34x = 13,994.21 × 5,664.19
  4. Step 4: Simplify right side
    10,140.34x = 79,265,843.51
  5. Step 5: Solve for x
    x = 79,265,843.51/10,140.34
  6. Step 6: Final answer
    x = 7,816.88

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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.