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Finding the Fourth Proportional to 11,262.02, 15,542.56 and 6,546

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Solution

The fourth proportional to 11,262.02, 15,542.56 and 6,546 is: 9,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.02 : 15,542.56 = 6,546 : x
  2. Step 2: Convert to fraction form
    11,262.02/15,542.56 = 6,546/x
  3. Step 3: Cross multiply
    11,262.02x = 15,542.56 × 6,546
  4. Step 4: Simplify right side
    11,262.02x = 101,741,597.76
  5. Step 5: Solve for x
    x = 101,741,597.76/11,262.02
  6. Step 6: Final answer
    x = 9,034.05

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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.