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Finding the Fourth Proportional to 7,429.60, 11,150 and 5,084

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Solution

The fourth proportional to 7,429.60, 11,150 and 5,084 is: 7,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.60 : 11,150 = 5,084 : x
  2. Step 2: Convert to fraction form
    7,429.60/11,150 = 5,084/x
  3. Step 3: Cross multiply
    7,429.60x = 11,150 × 5,084
  4. Step 4: Simplify right side
    7,429.60x = 56,686,600
  5. Step 5: Solve for x
    x = 56,686,600/7,429.60
  6. Step 6: Final answer
    x = 7,629.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.