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Finding the Fourth Proportional to 10,732.94, 16,098.63 and 2,941.14

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Solution

The fourth proportional to 10,732.94, 16,098.63 and 2,941.14 is: 4,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.94 : 16,098.63 = 2,941.14 : x
  2. Step 2: Convert to fraction form
    10,732.94/16,098.63 = 2,941.14/x
  3. Step 3: Cross multiply
    10,732.94x = 16,098.63 × 2,941.14
  4. Step 4: Simplify right side
    10,732.94x = 47,348,324.64
  5. Step 5: Solve for x
    x = 47,348,324.64/10,732.94
  6. Step 6: Final answer
    x = 4,411.50

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Why These Related Problems?

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