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Finding the Fourth Proportional to 7,406.79, 10,224.14 and 4,611.75

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Solution

The fourth proportional to 7,406.79, 10,224.14 and 4,611.75 is: 6,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.79 : 10,224.14 = 4,611.75 : x
  2. Step 2: Convert to fraction form
    7,406.79/10,224.14 = 4,611.75/x
  3. Step 3: Cross multiply
    7,406.79x = 10,224.14 × 4,611.75
  4. Step 4: Simplify right side
    7,406.79x = 47,151,154.59
  5. Step 5: Solve for x
    x = 47,151,154.59/7,406.79
  6. Step 6: Final answer
    x = 6,365.94

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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.