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Finding the Fourth Proportional to 8,487, 12,733.74 and 3,293.28

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Solution

The fourth proportional to 8,487, 12,733.74 and 3,293.28 is: 4,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487 : 12,733.74 = 3,293.28 : x
  2. Step 2: Convert to fraction form
    8,487/12,733.74 = 3,293.28/x
  3. Step 3: Cross multiply
    8,487x = 12,733.74 × 3,293.28
  4. Step 4: Simplify right side
    8,487x = 41,935,771.27
  5. Step 5: Solve for x
    x = 41,935,771.27/8,487
  6. Step 6: Final answer
    x = 4,941.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.