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Finding the Fourth Proportional to 11,564.40, 17,334.16 and 4,993.68

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Solution

The fourth proportional to 11,564.40, 17,334.16 and 4,993.68 is: 7,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.40 : 17,334.16 = 4,993.68 : x
  2. Step 2: Convert to fraction form
    11,564.40/17,334.16 = 4,993.68/x
  3. Step 3: Cross multiply
    11,564.40x = 17,334.16 × 4,993.68
  4. Step 4: Simplify right side
    11,564.40x = 86,561,248.11
  5. Step 5: Solve for x
    x = 86,561,248.11/11,564.40
  6. Step 6: Final answer
    x = 7,485.15

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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.