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Finding the Fourth Proportional to 10,149.12, 14,005.68 and 5,956.56

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Solution

The fourth proportional to 10,149.12, 14,005.68 and 5,956.56 is: 8,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.12 : 14,005.68 = 5,956.56 : x
  2. Step 2: Convert to fraction form
    10,149.12/14,005.68 = 5,956.56/x
  3. Step 3: Cross multiply
    10,149.12x = 14,005.68 × 5,956.56
  4. Step 4: Simplify right side
    10,149.12x = 83,425,673.26
  5. Step 5: Solve for x
    x = 83,425,673.26/10,149.12
  6. Step 6: Final answer
    x = 8,219.99

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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.