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Finding the Fourth Proportional to 11,465.39, 15,823.17 and 6,750.60

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Solution

The fourth proportional to 11,465.39, 15,823.17 and 6,750.60 is: 9,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.39 : 15,823.17 = 6,750.60 : x
  2. Step 2: Convert to fraction form
    11,465.39/15,823.17 = 6,750.60/x
  3. Step 3: Cross multiply
    11,465.39x = 15,823.17 × 6,750.60
  4. Step 4: Simplify right side
    11,465.39x = 106,815,891.40
  5. Step 5: Solve for x
    x = 106,815,891.40/11,465.39
  6. Step 6: Final answer
    x = 9,316.38

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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.