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Finding the Fourth Proportional to 10,305, 14,221.44 and 6,056.28

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Solution

The fourth proportional to 10,305, 14,221.44 and 6,056.28 is: 8,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305 : 14,221.44 = 6,056.28 : x
  2. Step 2: Convert to fraction form
    10,305/14,221.44 = 6,056.28/x
  3. Step 3: Cross multiply
    10,305x = 14,221.44 × 6,056.28
  4. Step 4: Simplify right side
    10,305x = 86,129,022.64
  5. Step 5: Solve for x
    x = 86,129,022.64/10,305
  6. Step 6: Final answer
    x = 8,357.98

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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.