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Finding the Fourth Proportional to 7,405.74, 11,074.88 and 5,532.96

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Solution

The fourth proportional to 7,405.74, 11,074.88 and 5,532.96 is: 8,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.74 : 11,074.88 = 5,532.96 : x
  2. Step 2: Convert to fraction form
    7,405.74/11,074.88 = 5,532.96/x
  3. Step 3: Cross multiply
    7,405.74x = 11,074.88 × 5,532.96
  4. Step 4: Simplify right side
    7,405.74x = 61,276,868.04
  5. Step 5: Solve for x
    x = 61,276,868.04/7,405.74
  6. Step 6: Final answer
    x = 8,274.24

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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.