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Finding the Fourth Proportional to 11,608.59, 16,020 and 6,303.50

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Solution

The fourth proportional to 11,608.59, 16,020 and 6,303.50 is: 8,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.59 : 16,020 = 6,303.50 : x
  2. Step 2: Convert to fraction form
    11,608.59/16,020 = 6,303.50/x
  3. Step 3: Cross multiply
    11,608.59x = 16,020 × 6,303.50
  4. Step 4: Simplify right side
    11,608.59x = 100,981,989.90
  5. Step 5: Solve for x
    x = 100,981,989.90/11,608.59
  6. Step 6: Final answer
    x = 8,698.90

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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.