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Finding the Fourth Proportional to 7,866.04, 11,798.34 and 2,671.32

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Solution

The fourth proportional to 7,866.04, 11,798.34 and 2,671.32 is: 4,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.04 : 11,798.34 = 2,671.32 : x
  2. Step 2: Convert to fraction form
    7,866.04/11,798.34 = 2,671.32/x
  3. Step 3: Cross multiply
    7,866.04x = 11,798.34 × 2,671.32
  4. Step 4: Simplify right side
    7,866.04x = 31,517,141.61
  5. Step 5: Solve for x
    x = 31,517,141.61/7,866.04
  6. Step 6: Final answer
    x = 4,006.74

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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.