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Finding the Fourth Proportional to 11,572.46, 15,969.87 and 6,536.69

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Solution

The fourth proportional to 11,572.46, 15,969.87 and 6,536.69 is: 9,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.46 : 15,969.87 = 6,536.69 : x
  2. Step 2: Convert to fraction form
    11,572.46/15,969.87 = 6,536.69/x
  3. Step 3: Cross multiply
    11,572.46x = 15,969.87 × 6,536.69
  4. Step 4: Simplify right side
    11,572.46x = 104,390,089.53
  5. Step 5: Solve for x
    x = 104,390,089.53/11,572.46
  6. Step 6: Final answer
    x = 9,020.56

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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.