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Finding the Fourth Proportional to 10,146.96, 14,005.98 and 6,563.52

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Solution

The fourth proportional to 10,146.96, 14,005.98 and 6,563.52 is: 9,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.96 : 14,005.98 = 6,563.52 : x
  2. Step 2: Convert to fraction form
    10,146.96/14,005.98 = 6,563.52/x
  3. Step 3: Cross multiply
    10,146.96x = 14,005.98 × 6,563.52
  4. Step 4: Simplify right side
    10,146.96x = 91,928,529.85
  5. Step 5: Solve for x
    x = 91,928,529.85/10,146.96
  6. Step 6: Final answer
    x = 9,059.71

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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.