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Finding the Fourth Proportional to 7,664.98, 11,500.71 and 3,284.50

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Solution

The fourth proportional to 7,664.98, 11,500.71 and 3,284.50 is: 4,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.98 : 11,500.71 = 3,284.50 : x
  2. Step 2: Convert to fraction form
    7,664.98/11,500.71 = 3,284.50/x
  3. Step 3: Cross multiply
    7,664.98x = 11,500.71 × 3,284.50
  4. Step 4: Simplify right side
    7,664.98x = 37,774,040.93
  5. Step 5: Solve for x
    x = 37,774,040.93/7,664.98
  6. Step 6: Final answer
    x = 4,928.13

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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.