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Finding the Fourth Proportional to 8,316.34, 11,460.76 and 5,954.38

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Solution

The fourth proportional to 8,316.34, 11,460.76 and 5,954.38 is: 8,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.34 : 11,460.76 = 5,954.38 : x
  2. Step 2: Convert to fraction form
    8,316.34/11,460.76 = 5,954.38/x
  3. Step 3: Cross multiply
    8,316.34x = 11,460.76 × 5,954.38
  4. Step 4: Simplify right side
    8,316.34x = 68,241,720.13
  5. Step 5: Solve for x
    x = 68,241,720.13/8,316.34
  6. Step 6: Final answer
    x = 8,205.74

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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.