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Finding the Fourth Proportional to 11,594.96, 16,001.16 and 6,290

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Solution

The fourth proportional to 11,594.96, 16,001.16 and 6,290 is: 8,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.96 : 16,001.16 = 6,290 : x
  2. Step 2: Convert to fraction form
    11,594.96/16,001.16 = 6,290/x
  3. Step 3: Cross multiply
    11,594.96x = 16,001.16 × 6,290
  4. Step 4: Simplify right side
    11,594.96x = 100,647,296.40
  5. Step 5: Solve for x
    x = 100,647,296.40/11,594.96
  6. Step 6: Final answer
    x = 8,680.26

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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.