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Finding the Fourth Proportional to 11,564.65, 17,334.56 and 4,993.93

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Solution

The fourth proportional to 11,564.65, 17,334.56 and 4,993.93 is: 7,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.65 : 17,334.56 = 4,993.93 : x
  2. Step 2: Convert to fraction form
    11,564.65/17,334.56 = 4,993.93/x
  3. Step 3: Cross multiply
    11,564.65x = 17,334.56 × 4,993.93
  4. Step 4: Simplify right side
    11,564.65x = 86,567,554.25
  5. Step 5: Solve for x
    x = 86,567,554.25/11,564.65
  6. Step 6: Final answer
    x = 7,485.53

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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.