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Finding the Fourth Proportional to 11,687.46, 17,594.70 and 10,482

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Solution

The fourth proportional to 11,687.46, 17,594.70 and 10,482 is: 15,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.46 : 17,594.70 = 10,482 : x
  2. Step 2: Convert to fraction form
    11,687.46/17,594.70 = 10,482/x
  3. Step 3: Cross multiply
    11,687.46x = 17,594.70 × 10,482
  4. Step 4: Simplify right side
    11,687.46x = 184,427,645.40
  5. Step 5: Solve for x
    x = 184,427,645.40/11,687.46
  6. Step 6: Final answer
    x = 15,779.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.