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Finding the Fourth Proportional to 6,892.50, 9,515.26 and 5,533.32

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Solution

The fourth proportional to 6,892.50, 9,515.26 and 5,533.32 is: 7,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.50 : 9,515.26 = 5,533.32 : x
  2. Step 2: Convert to fraction form
    6,892.50/9,515.26 = 5,533.32/x
  3. Step 3: Cross multiply
    6,892.50x = 9,515.26 × 5,533.32
  4. Step 4: Simplify right side
    6,892.50x = 52,650,978.46
  5. Step 5: Solve for x
    x = 52,650,978.46/6,892.50
  6. Step 6: Final answer
    x = 7,638.88

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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.