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Finding the Fourth Proportional to 8,480.24, 11,698.80 and 5,496.56

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Solution

The fourth proportional to 8,480.24, 11,698.80 and 5,496.56 is: 7,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.24 : 11,698.80 = 5,496.56 : x
  2. Step 2: Convert to fraction form
    8,480.24/11,698.80 = 5,496.56/x
  3. Step 3: Cross multiply
    8,480.24x = 11,698.80 × 5,496.56
  4. Step 4: Simplify right side
    8,480.24x = 64,303,156.13
  5. Step 5: Solve for x
    x = 64,303,156.13/8,480.24
  6. Step 6: Final answer
    x = 7,582.70

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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.