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Finding the Fourth Proportional to 11,564.64, 17,353.88 and 4,990.83

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Solution

The fourth proportional to 11,564.64, 17,353.88 and 4,990.83 is: 7,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.64 : 17,353.88 = 4,990.83 : x
  2. Step 2: Convert to fraction form
    11,564.64/17,353.88 = 4,990.83/x
  3. Step 3: Cross multiply
    11,564.64x = 17,353.88 × 4,990.83
  4. Step 4: Simplify right side
    11,564.64x = 86,610,277.40
  5. Step 5: Solve for x
    x = 86,610,277.40/11,564.64
  6. Step 6: Final answer
    x = 7,489.23

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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.