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Finding the Fourth Proportional to 10,305.56, 14,221.92 and 6,113.84

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Solution

The fourth proportional to 10,305.56, 14,221.92 and 6,113.84 is: 8,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.56 : 14,221.92 = 6,113.84 : x
  2. Step 2: Convert to fraction form
    10,305.56/14,221.92 = 6,113.84/x
  3. Step 3: Cross multiply
    10,305.56x = 14,221.92 × 6,113.84
  4. Step 4: Simplify right side
    10,305.56x = 86,950,543.37
  5. Step 5: Solve for x
    x = 86,950,543.37/10,305.56
  6. Step 6: Final answer
    x = 8,437.25

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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.