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Finding the Fourth Proportional to 8,099.64, 11,184.30 and 5,455.80

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Solution

The fourth proportional to 8,099.64, 11,184.30 and 5,455.80 is: 7,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.64 : 11,184.30 = 5,455.80 : x
  2. Step 2: Convert to fraction form
    8,099.64/11,184.30 = 5,455.80/x
  3. Step 3: Cross multiply
    8,099.64x = 11,184.30 × 5,455.80
  4. Step 4: Simplify right side
    8,099.64x = 61,019,303.94
  5. Step 5: Solve for x
    x = 61,019,303.94/8,099.64
  6. Step 6: Final answer
    x = 7,533.58

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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.