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Finding the Fourth Proportional to 11,548.81, 17,322.56 and 4,530.07

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Solution

The fourth proportional to 11,548.81, 17,322.56 and 4,530.07 is: 6,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.81 : 17,322.56 = 4,530.07 : x
  2. Step 2: Convert to fraction form
    11,548.81/17,322.56 = 4,530.07/x
  3. Step 3: Cross multiply
    11,548.81x = 17,322.56 × 4,530.07
  4. Step 4: Simplify right side
    11,548.81x = 78,472,409.38
  5. Step 5: Solve for x
    x = 78,472,409.38/11,548.81
  6. Step 6: Final answer
    x = 6,794.85

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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.