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Finding the Fourth Proportional to 10,584.87, 15,881.13 and 4,011

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Solution

The fourth proportional to 10,584.87, 15,881.13 and 4,011 is: 6,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.87 : 15,881.13 = 4,011 : x
  2. Step 2: Convert to fraction form
    10,584.87/15,881.13 = 4,011/x
  3. Step 3: Cross multiply
    10,584.87x = 15,881.13 × 4,011
  4. Step 4: Simplify right side
    10,584.87x = 63,699,212.43
  5. Step 5: Solve for x
    x = 63,699,212.43/10,584.87
  6. Step 6: Final answer
    x = 6,017.95

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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.