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Finding the Fourth Proportional to 11,671.65, 17,507.46 and 4,276.68

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Solution

The fourth proportional to 11,671.65, 17,507.46 and 4,276.68 is: 6,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.65 : 17,507.46 = 4,276.68 : x
  2. Step 2: Convert to fraction form
    11,671.65/17,507.46 = 4,276.68/x
  3. Step 3: Cross multiply
    11,671.65x = 17,507.46 × 4,276.68
  4. Step 4: Simplify right side
    11,671.65x = 74,873,890.11
  5. Step 5: Solve for x
    x = 74,873,890.11/11,671.65
  6. Step 6: Final answer
    x = 6,415.02

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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.