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Finding the Fourth Proportional to 10,216.32, 14,100.04 and 6,239.74

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Solution

The fourth proportional to 10,216.32, 14,100.04 and 6,239.74 is: 8,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.32 : 14,100.04 = 6,239.74 : x
  2. Step 2: Convert to fraction form
    10,216.32/14,100.04 = 6,239.74/x
  3. Step 3: Cross multiply
    10,216.32x = 14,100.04 × 6,239.74
  4. Step 4: Simplify right side
    10,216.32x = 87,980,583.59
  5. Step 5: Solve for x
    x = 87,980,583.59/10,216.32
  6. Step 6: Final answer
    x = 8,611.77

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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.