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Finding the Fourth Proportional to 10,219.74, 14,103.63 and 6,242.64

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Solution

The fourth proportional to 10,219.74, 14,103.63 and 6,242.64 is: 8,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.74 : 14,103.63 = 6,242.64 : x
  2. Step 2: Convert to fraction form
    10,219.74/14,103.63 = 6,242.64/x
  3. Step 3: Cross multiply
    10,219.74x = 14,103.63 × 6,242.64
  4. Step 4: Simplify right side
    10,219.74x = 88,043,884.78
  5. Step 5: Solve for x
    x = 88,043,884.78/10,219.74
  6. Step 6: Final answer
    x = 8,615.08

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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.