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Finding the Fourth Proportional to 7,564.80, 10,439.74 and 4,207.60

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Solution

The fourth proportional to 7,564.80, 10,439.74 and 4,207.60 is: 5,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.80 : 10,439.74 = 4,207.60 : x
  2. Step 2: Convert to fraction form
    7,564.80/10,439.74 = 4,207.60/x
  3. Step 3: Cross multiply
    7,564.80x = 10,439.74 × 4,207.60
  4. Step 4: Simplify right side
    7,564.80x = 43,926,250.02
  5. Step 5: Solve for x
    x = 43,926,250.02/7,564.80
  6. Step 6: Final answer
    x = 5,806.66

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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.