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Finding the Fourth Proportional to 11,730.83, 17,595.43 and 5,156.87

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Solution

The fourth proportional to 11,730.83, 17,595.43 and 5,156.87 is: 7,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.83 : 17,595.43 = 5,156.87 : x
  2. Step 2: Convert to fraction form
    11,730.83/17,595.43 = 5,156.87/x
  3. Step 3: Cross multiply
    11,730.83x = 17,595.43 × 5,156.87
  4. Step 4: Simplify right side
    11,730.83x = 90,737,244.23
  5. Step 5: Solve for x
    x = 90,737,244.23/11,730.83
  6. Step 6: Final answer
    x = 7,734.94

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