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Finding the Fourth Proportional to 7,156.08, 10,734.08 and 3,458.66

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Solution

The fourth proportional to 7,156.08, 10,734.08 and 3,458.66 is: 5,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.08 : 10,734.08 = 3,458.66 : x
  2. Step 2: Convert to fraction form
    7,156.08/10,734.08 = 3,458.66/x
  3. Step 3: Cross multiply
    7,156.08x = 10,734.08 × 3,458.66
  4. Step 4: Simplify right side
    7,156.08x = 37,125,462.17
  5. Step 5: Solve for x
    x = 37,125,462.17/7,156.08
  6. Step 6: Final answer
    x = 5,187.96

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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.