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Finding the Fourth Proportional to 8,439.66, 11,645.37 and 4,903.02

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Solution

The fourth proportional to 8,439.66, 11,645.37 and 4,903.02 is: 6,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.66 : 11,645.37 = 4,903.02 : x
  2. Step 2: Convert to fraction form
    8,439.66/11,645.37 = 4,903.02/x
  3. Step 3: Cross multiply
    8,439.66x = 11,645.37 × 4,903.02
  4. Step 4: Simplify right side
    8,439.66x = 57,097,482.02
  5. Step 5: Solve for x
    x = 57,097,482.02/8,439.66
  6. Step 6: Final answer
    x = 6,765.38

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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.