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Finding the Fourth Proportional to 10,147.96, 14,007.36 and 6,564.52

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Solution

The fourth proportional to 10,147.96, 14,007.36 and 6,564.52 is: 9,061.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.96 : 14,007.36 = 6,564.52 : x
  2. Step 2: Convert to fraction form
    10,147.96/14,007.36 = 6,564.52/x
  3. Step 3: Cross multiply
    10,147.96x = 14,007.36 × 6,564.52
  4. Step 4: Simplify right side
    10,147.96x = 91,951,594.87
  5. Step 5: Solve for x
    x = 91,951,594.87/10,147.96
  6. Step 6: Final answer
    x = 9,061.09

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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.