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Finding the Fourth Proportional to 10,305.56, 14,220.38 and 6,113

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Solution

The fourth proportional to 10,305.56, 14,220.38 and 6,113 is: 8,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.56 : 14,220.38 = 6,113 : x
  2. Step 2: Convert to fraction form
    10,305.56/14,220.38 = 6,113/x
  3. Step 3: Cross multiply
    10,305.56x = 14,220.38 × 6,113
  4. Step 4: Simplify right side
    10,305.56x = 86,929,182.94
  5. Step 5: Solve for x
    x = 86,929,182.94/10,305.56
  6. Step 6: Final answer
    x = 8,435.17

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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.