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Finding the Fourth Proportional to 8,262.48, 11,407.56 and 5,471.76

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Solution

The fourth proportional to 8,262.48, 11,407.56 and 5,471.76 is: 7,554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.48 : 11,407.56 = 5,471.76 : x
  2. Step 2: Convert to fraction form
    8,262.48/11,407.56 = 5,471.76/x
  3. Step 3: Cross multiply
    8,262.48x = 11,407.56 × 5,471.76
  4. Step 4: Simplify right side
    8,262.48x = 62,419,430.51
  5. Step 5: Solve for x
    x = 62,419,430.51/8,262.48
  6. Step 6: Final answer
    x = 7,554.56

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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.