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Finding the Fourth Proportional to 7,689.76, 11,533.36 and 2,758.48

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Solution

The fourth proportional to 7,689.76, 11,533.36 and 2,758.48 is: 4,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.76 : 11,533.36 = 2,758.48 : x
  2. Step 2: Convert to fraction form
    7,689.76/11,533.36 = 2,758.48/x
  3. Step 3: Cross multiply
    7,689.76x = 11,533.36 × 2,758.48
  4. Step 4: Simplify right side
    7,689.76x = 31,814,542.89
  5. Step 5: Solve for x
    x = 31,814,542.89/7,689.76
  6. Step 6: Final answer
    x = 4,137.26

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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.