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Finding the Fourth Proportional to 10,149.16, 14,003.94 and 5,955.88

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Solution

The fourth proportional to 10,149.16, 14,003.94 and 5,955.88 is: 8,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.16 : 14,003.94 = 5,955.88 : x
  2. Step 2: Convert to fraction form
    10,149.16/14,003.94 = 5,955.88/x
  3. Step 3: Cross multiply
    10,149.16x = 14,003.94 × 5,955.88
  4. Step 4: Simplify right side
    10,149.16x = 83,405,786.17
  5. Step 5: Solve for x
    x = 83,405,786.17/10,149.16
  6. Step 6: Final answer
    x = 8,218.00

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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.