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Finding the Fourth Proportional to 11,423, 17,135.87 and 4,025.93

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Solution

The fourth proportional to 11,423, 17,135.87 and 4,025.93 is: 6,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423 : 17,135.87 = 4,025.93 : x
  2. Step 2: Convert to fraction form
    11,423/17,135.87 = 4,025.93/x
  3. Step 3: Cross multiply
    11,423x = 17,135.87 × 4,025.93
  4. Step 4: Simplify right side
    11,423x = 68,987,813.11
  5. Step 5: Solve for x
    x = 68,987,813.11/11,423
  6. Step 6: Final answer
    x = 6,039.38

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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.