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Finding the Fourth Proportional to 8,534.07, 11,769.65 and 5,548.82

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Solution

The fourth proportional to 8,534.07, 11,769.65 and 5,548.82 is: 7,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.07 : 11,769.65 = 5,548.82 : x
  2. Step 2: Convert to fraction form
    8,534.07/11,769.65 = 5,548.82/x
  3. Step 3: Cross multiply
    8,534.07x = 11,769.65 × 5,548.82
  4. Step 4: Simplify right side
    8,534.07x = 65,307,582.72
  5. Step 5: Solve for x
    x = 65,307,582.72/8,534.07
  6. Step 6: Final answer
    x = 7,652.57

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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.