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Finding the Fourth Proportional to 13,292.28, 18,346 and 7,630.86

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Solution

The fourth proportional to 13,292.28, 18,346 and 7,630.86 is: 10,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,292.28 : 18,346 = 7,630.86 : x
  2. Step 2: Convert to fraction form
    13,292.28/18,346 = 7,630.86/x
  3. Step 3: Cross multiply
    13,292.28x = 18,346 × 7,630.86
  4. Step 4: Simplify right side
    13,292.28x = 139,995,757.56
  5. Step 5: Solve for x
    x = 139,995,757.56/13,292.28
  6. Step 6: Final answer
    x = 10,532.11

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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.