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Finding the Fourth Proportional to 7,156.08, 10,721.97 and 4,034.88

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Solution

The fourth proportional to 7,156.08, 10,721.97 and 4,034.88 is: 6,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.08 : 10,721.97 = 4,034.88 : x
  2. Step 2: Convert to fraction form
    7,156.08/10,721.97 = 4,034.88/x
  3. Step 3: Cross multiply
    7,156.08x = 10,721.97 × 4,034.88
  4. Step 4: Simplify right side
    7,156.08x = 43,261,862.31
  5. Step 5: Solve for x
    x = 43,261,862.31/7,156.08
  6. Step 6: Final answer
    x = 6,045.47

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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.