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Finding the Fourth Proportional to 10,624.56, 14,659.27 and 6,147.01

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Solution

The fourth proportional to 10,624.56, 14,659.27 and 6,147.01 is: 8,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.56 : 14,659.27 = 6,147.01 : x
  2. Step 2: Convert to fraction form
    10,624.56/14,659.27 = 6,147.01/x
  3. Step 3: Cross multiply
    10,624.56x = 14,659.27 × 6,147.01
  4. Step 4: Simplify right side
    10,624.56x = 90,110,679.28
  5. Step 5: Solve for x
    x = 90,110,679.28/10,624.56
  6. Step 6: Final answer
    x = 8,481.36

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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.