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Finding the Fourth Proportional to 10,922.00, 15,077.09 and 6,892.46

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Solution

The fourth proportional to 10,922.00, 15,077.09 and 6,892.46 is: 9,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.00 : 15,077.09 = 6,892.46 : x
  2. Step 2: Convert to fraction form
    10,922.00/15,077.09 = 6,892.46/x
  3. Step 3: Cross multiply
    10,922.00x = 15,077.09 × 6,892.46
  4. Step 4: Simplify right side
    10,922.00x = 103,918,129.89
  5. Step 5: Solve for x
    x = 103,918,129.89/10,922.00
  6. Step 6: Final answer
    x = 9,514.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.