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Finding the Fourth Proportional to 10,652.66, 15,979.04 and 3,257.09

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Solution

The fourth proportional to 10,652.66, 15,979.04 and 3,257.09 is: 4,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.66 : 15,979.04 = 3,257.09 : x
  2. Step 2: Convert to fraction form
    10,652.66/15,979.04 = 3,257.09/x
  3. Step 3: Cross multiply
    10,652.66x = 15,979.04 × 3,257.09
  4. Step 4: Simplify right side
    10,652.66x = 52,045,075.21
  5. Step 5: Solve for x
    x = 52,045,075.21/10,652.66
  6. Step 6: Final answer
    x = 4,885.64

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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.