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Finding the Fourth Proportional to 8,048.64, 11,110.56 and 5,395.20

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Solution

The fourth proportional to 8,048.64, 11,110.56 and 5,395.20 is: 7,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.64 : 11,110.56 = 5,395.20 : x
  2. Step 2: Convert to fraction form
    8,048.64/11,110.56 = 5,395.20/x
  3. Step 3: Cross multiply
    8,048.64x = 11,110.56 × 5,395.20
  4. Step 4: Simplify right side
    8,048.64x = 59,943,693.31
  5. Step 5: Solve for x
    x = 59,943,693.31/8,048.64
  6. Step 6: Final answer
    x = 7,447.68

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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.