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Finding the Fourth Proportional to 7,429.60, 11,128.44 and 6,993.48

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Solution

The fourth proportional to 7,429.60, 11,128.44 and 6,993.48 is: 10,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.60 : 11,128.44 = 6,993.48 : x
  2. Step 2: Convert to fraction form
    7,429.60/11,128.44 = 6,993.48/x
  3. Step 3: Cross multiply
    7,429.60x = 11,128.44 × 6,993.48
  4. Step 4: Simplify right side
    7,429.60x = 77,826,522.57
  5. Step 5: Solve for x
    x = 77,826,522.57/7,429.60
  6. Step 6: Final answer
    x = 10,475.20

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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.