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Finding the Fourth Proportional to 10,240.58, 14,130.06 and 5,991.42

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Solution

The fourth proportional to 10,240.58, 14,130.06 and 5,991.42 is: 8,267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240.58 : 14,130.06 = 5,991.42 : x
  2. Step 2: Convert to fraction form
    10,240.58/14,130.06 = 5,991.42/x
  3. Step 3: Cross multiply
    10,240.58x = 14,130.06 × 5,991.42
  4. Step 4: Simplify right side
    10,240.58x = 84,659,124.09
  5. Step 5: Solve for x
    x = 84,659,124.09/10,240.58
  6. Step 6: Final answer
    x = 8,267.02

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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.