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Finding the Fourth Proportional to 11,077, 15,269.22 and 7,293.64

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Solution

The fourth proportional to 11,077, 15,269.22 and 7,293.64 is: 10,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077 : 15,269.22 = 7,293.64 : x
  2. Step 2: Convert to fraction form
    11,077/15,269.22 = 7,293.64/x
  3. Step 3: Cross multiply
    11,077x = 15,269.22 × 7,293.64
  4. Step 4: Simplify right side
    11,077x = 111,368,193.76
  5. Step 5: Solve for x
    x = 111,368,193.76/11,077
  6. Step 6: Final answer
    x = 10,054.00

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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.