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Finding the Fourth Proportional to 7,684.22, 10,602.77 and 4,325.81

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Solution

The fourth proportional to 7,684.22, 10,602.77 and 4,325.81 is: 5,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.22 : 10,602.77 = 4,325.81 : x
  2. Step 2: Convert to fraction form
    7,684.22/10,602.77 = 4,325.81/x
  3. Step 3: Cross multiply
    7,684.22x = 10,602.77 × 4,325.81
  4. Step 4: Simplify right side
    7,684.22x = 45,865,530.35
  5. Step 5: Solve for x
    x = 45,865,530.35/7,684.22
  6. Step 6: Final answer
    x = 5,968.80

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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.