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Finding the Fourth Proportional to 10,050.95, 13,861.23 and 6,274.46

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Solution

The fourth proportional to 10,050.95, 13,861.23 and 6,274.46 is: 8,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.95 : 13,861.23 = 6,274.46 : x
  2. Step 2: Convert to fraction form
    10,050.95/13,861.23 = 6,274.46/x
  3. Step 3: Cross multiply
    10,050.95x = 13,861.23 × 6,274.46
  4. Step 4: Simplify right side
    10,050.95x = 86,971,767.84
  5. Step 5: Solve for x
    x = 86,971,767.84/10,050.95
  6. Step 6: Final answer
    x = 8,653.09

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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.