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Finding the Fourth Proportional to 11,042.64, 15,233.48 and 6,563.22

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Solution

The fourth proportional to 11,042.64, 15,233.48 and 6,563.22 is: 9,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.64 : 15,233.48 = 6,563.22 : x
  2. Step 2: Convert to fraction form
    11,042.64/15,233.48 = 6,563.22/x
  3. Step 3: Cross multiply
    11,042.64x = 15,233.48 × 6,563.22
  4. Step 4: Simplify right side
    11,042.64x = 99,980,615.28
  5. Step 5: Solve for x
    x = 99,980,615.28/11,042.64
  6. Step 6: Final answer
    x = 9,054.05

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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.