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Finding the Fourth Proportional to 8,995.49, 12,415.38 and 5,641.20

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Solution

The fourth proportional to 8,995.49, 12,415.38 and 5,641.20 is: 7,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,995.49 : 12,415.38 = 5,641.20 : x
  2. Step 2: Convert to fraction form
    8,995.49/12,415.38 = 5,641.20/x
  3. Step 3: Cross multiply
    8,995.49x = 12,415.38 × 5,641.20
  4. Step 4: Simplify right side
    8,995.49x = 70,037,641.66
  5. Step 5: Solve for x
    x = 70,037,641.66/8,995.49
  6. Step 6: Final answer
    x = 7,785.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.