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Finding the Fourth Proportional to 8,134.54, 11,226.24 and 4,597.78

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Solution

The fourth proportional to 8,134.54, 11,226.24 and 4,597.78 is: 6,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.54 : 11,226.24 = 4,597.78 : x
  2. Step 2: Convert to fraction form
    8,134.54/11,226.24 = 4,597.78/x
  3. Step 3: Cross multiply
    8,134.54x = 11,226.24 × 4,597.78
  4. Step 4: Simplify right side
    8,134.54x = 51,615,742.19
  5. Step 5: Solve for x
    x = 51,615,742.19/8,134.54
  6. Step 6: Final answer
    x = 6,345.26

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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.