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Finding the Fourth Proportional to 7,156.95, 10,734.88 and 3,644.76

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Solution

The fourth proportional to 7,156.95, 10,734.88 and 3,644.76 is: 5,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.95 : 10,734.88 = 3,644.76 : x
  2. Step 2: Convert to fraction form
    7,156.95/10,734.88 = 3,644.76/x
  3. Step 3: Cross multiply
    7,156.95x = 10,734.88 × 3,644.76
  4. Step 4: Simplify right side
    7,156.95x = 39,126,061.23
  5. Step 5: Solve for x
    x = 39,126,061.23/7,156.95
  6. Step 6: Final answer
    x = 5,466.86

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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.