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Finding the Fourth Proportional to 11,564.46, 17,346.69 and 5,725.17

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Solution

The fourth proportional to 11,564.46, 17,346.69 and 5,725.17 is: 8,587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.46 : 17,346.69 = 5,725.17 : x
  2. Step 2: Convert to fraction form
    11,564.46/17,346.69 = 5,725.17/x
  3. Step 3: Cross multiply
    11,564.46x = 17,346.69 × 5,725.17
  4. Step 4: Simplify right side
    11,564.46x = 99,312,749.19
  5. Step 5: Solve for x
    x = 99,312,749.19/11,564.46
  6. Step 6: Final answer
    x = 8,587.76

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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.