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Finding the Fourth Proportional to 7,660.31, 11,490.41 and 2,730.12

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Solution

The fourth proportional to 7,660.31, 11,490.41 and 2,730.12 is: 4,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.31 : 11,490.41 = 2,730.12 : x
  2. Step 2: Convert to fraction form
    7,660.31/11,490.41 = 2,730.12/x
  3. Step 3: Cross multiply
    7,660.31x = 11,490.41 × 2,730.12
  4. Step 4: Simplify right side
    7,660.31x = 31,370,184.50
  5. Step 5: Solve for x
    x = 31,370,184.50/7,660.31
  6. Step 6: Final answer
    x = 4,095.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.