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Finding the Fourth Proportional to 10,699.92, 14,766.48 and 5,984.64

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Solution

The fourth proportional to 10,699.92, 14,766.48 and 5,984.64 is: 8,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.92 : 14,766.48 = 5,984.64 : x
  2. Step 2: Convert to fraction form
    10,699.92/14,766.48 = 5,984.64/x
  3. Step 3: Cross multiply
    10,699.92x = 14,766.48 × 5,984.64
  4. Step 4: Simplify right side
    10,699.92x = 88,372,066.87
  5. Step 5: Solve for x
    x = 88,372,066.87/10,699.92
  6. Step 6: Final answer
    x = 8,259.13

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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.