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Finding the Fourth Proportional to 10,199.07, 14,074.74 and 5,953.05

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Solution

The fourth proportional to 10,199.07, 14,074.74 and 5,953.05 is: 8,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.07 : 14,074.74 = 5,953.05 : x
  2. Step 2: Convert to fraction form
    10,199.07/14,074.74 = 5,953.05/x
  3. Step 3: Cross multiply
    10,199.07x = 14,074.74 × 5,953.05
  4. Step 4: Simplify right side
    10,199.07x = 83,787,630.96
  5. Step 5: Solve for x
    x = 83,787,630.96/10,199.07
  6. Step 6: Final answer
    x = 8,215.22

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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.