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Finding the Fourth Proportional to 7,032.70, 10,549.17 and 2,102.41

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Solution

The fourth proportional to 7,032.70, 10,549.17 and 2,102.41 is: 3,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.70 : 10,549.17 = 2,102.41 : x
  2. Step 2: Convert to fraction form
    7,032.70/10,549.17 = 2,102.41/x
  3. Step 3: Cross multiply
    7,032.70x = 10,549.17 × 2,102.41
  4. Step 4: Simplify right side
    7,032.70x = 22,178,680.50
  5. Step 5: Solve for x
    x = 22,178,680.50/7,032.70
  6. Step 6: Final answer
    x = 3,153.65

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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.