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Finding the Fourth Proportional to 11,069.68, 15,275.68 and 6,289.61

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Solution

The fourth proportional to 11,069.68, 15,275.68 and 6,289.61 is: 8,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069.68 : 15,275.68 = 6,289.61 : x
  2. Step 2: Convert to fraction form
    11,069.68/15,275.68 = 6,289.61/x
  3. Step 3: Cross multiply
    11,069.68x = 15,275.68 × 6,289.61
  4. Step 4: Simplify right side
    11,069.68x = 96,078,069.68
  5. Step 5: Solve for x
    x = 96,078,069.68/11,069.68
  6. Step 6: Final answer
    x = 8,679.39

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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.