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Finding the Fourth Proportional to 10,646.69, 15,971.40 and 5,709.56

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Solution

The fourth proportional to 10,646.69, 15,971.40 and 5,709.56 is: 8,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.69 : 15,971.40 = 5,709.56 : x
  2. Step 2: Convert to fraction form
    10,646.69/15,971.40 = 5,709.56/x
  3. Step 3: Cross multiply
    10,646.69x = 15,971.40 × 5,709.56
  4. Step 4: Simplify right side
    10,646.69x = 91,189,586.73
  5. Step 5: Solve for x
    x = 91,189,586.73/10,646.69
  6. Step 6: Final answer
    x = 8,565.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.