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Finding the Fourth Proportional to 8,410.35, 11,606.58 and 5,582.64

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Solution

The fourth proportional to 8,410.35, 11,606.58 and 5,582.64 is: 7,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.35 : 11,606.58 = 5,582.64 : x
  2. Step 2: Convert to fraction form
    8,410.35/11,606.58 = 5,582.64/x
  3. Step 3: Cross multiply
    8,410.35x = 11,606.58 × 5,582.64
  4. Step 4: Simplify right side
    8,410.35x = 64,795,357.77
  5. Step 5: Solve for x
    x = 64,795,357.77/8,410.35
  6. Step 6: Final answer
    x = 7,704.24

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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.