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Finding the Fourth Proportional to 8,471.48, 11,686.72 and 5,488.28

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Solution

The fourth proportional to 8,471.48, 11,686.72 and 5,488.28 is: 7,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.48 : 11,686.72 = 5,488.28 : x
  2. Step 2: Convert to fraction form
    8,471.48/11,686.72 = 5,488.28/x
  3. Step 3: Cross multiply
    8,471.48x = 11,686.72 × 5,488.28
  4. Step 4: Simplify right side
    8,471.48x = 64,139,991.64
  5. Step 5: Solve for x
    x = 64,139,991.64/8,471.48
  6. Step 6: Final answer
    x = 7,571.29

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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.