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Finding the Fourth Proportional to 7,683.35, 10,602.24 and 4,325.63

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Solution

The fourth proportional to 7,683.35, 10,602.24 and 4,325.63 is: 5,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.35 : 10,602.24 = 4,325.63 : x
  2. Step 2: Convert to fraction form
    7,683.35/10,602.24 = 4,325.63/x
  3. Step 3: Cross multiply
    7,683.35x = 10,602.24 × 4,325.63
  4. Step 4: Simplify right side
    7,683.35x = 45,861,367.41
  5. Step 5: Solve for x
    x = 45,861,367.41/7,683.35
  6. Step 6: Final answer
    x = 5,968.93

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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.