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Finding the Fourth Proportional to 7,636.95, 10,538.73 and 4,280.31

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Solution

The fourth proportional to 7,636.95, 10,538.73 and 4,280.31 is: 5,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.95 : 10,538.73 = 4,280.31 : x
  2. Step 2: Convert to fraction form
    7,636.95/10,538.73 = 4,280.31/x
  3. Step 3: Cross multiply
    7,636.95x = 10,538.73 × 4,280.31
  4. Step 4: Simplify right side
    7,636.95x = 45,109,031.41
  5. Step 5: Solve for x
    x = 45,109,031.41/7,636.95
  6. Step 6: Final answer
    x = 5,906.68

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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.