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Finding the Fourth Proportional to 7,689.94, 11,533.38 and 3,528.98

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Solution

The fourth proportional to 7,689.94, 11,533.38 and 3,528.98 is: 5,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.94 : 11,533.38 = 3,528.98 : x
  2. Step 2: Convert to fraction form
    7,689.94/11,533.38 = 3,528.98/x
  3. Step 3: Cross multiply
    7,689.94x = 11,533.38 × 3,528.98
  4. Step 4: Simplify right side
    7,689.94x = 40,701,067.35
  5. Step 5: Solve for x
    x = 40,701,067.35/7,689.94
  6. Step 6: Final answer
    x = 5,292.77

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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.