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Finding the Fourth Proportional to 11,564.54, 17,346.81 and 5,715.26

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Solution

The fourth proportional to 11,564.54, 17,346.81 and 5,715.26 is: 8,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.54 : 17,346.81 = 5,715.26 : x
  2. Step 2: Convert to fraction form
    11,564.54/17,346.81 = 5,715.26/x
  3. Step 3: Cross multiply
    11,564.54x = 17,346.81 × 5,715.26
  4. Step 4: Simplify right side
    11,564.54x = 99,141,529.32
  5. Step 5: Solve for x
    x = 99,141,529.32/11,564.54
  6. Step 6: Final answer
    x = 8,572.89

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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.