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Finding the Fourth Proportional to 11,619.71, 16,035.30 and 6,314.53

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Solution

The fourth proportional to 11,619.71, 16,035.30 and 6,314.53 is: 8,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.71 : 16,035.30 = 6,314.53 : x
  2. Step 2: Convert to fraction form
    11,619.71/16,035.30 = 6,314.53/x
  3. Step 3: Cross multiply
    11,619.71x = 16,035.30 × 6,314.53
  4. Step 4: Simplify right side
    11,619.71x = 101,255,302.73
  5. Step 5: Solve for x
    x = 101,255,302.73/11,619.71
  6. Step 6: Final answer
    x = 8,714.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.