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Finding the Fourth Proportional to 8,276.42, 12,415.01 and 2,730.25

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Solution

The fourth proportional to 8,276.42, 12,415.01 and 2,730.25 is: 4,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.42 : 12,415.01 = 2,730.25 : x
  2. Step 2: Convert to fraction form
    8,276.42/12,415.01 = 2,730.25/x
  3. Step 3: Cross multiply
    8,276.42x = 12,415.01 × 2,730.25
  4. Step 4: Simplify right side
    8,276.42x = 33,896,036.36
  5. Step 5: Solve for x
    x = 33,896,036.36/8,276.42
  6. Step 6: Final answer
    x = 4,095.49

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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.