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Finding the Fourth Proportional to 11,688.87, 17,505.36 and 6,415.77

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Solution

The fourth proportional to 11,688.87, 17,505.36 and 6,415.77 is: 9,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.87 : 17,505.36 = 6,415.77 : x
  2. Step 2: Convert to fraction form
    11,688.87/17,505.36 = 6,415.77/x
  3. Step 3: Cross multiply
    11,688.87x = 17,505.36 × 6,415.77
  4. Step 4: Simplify right side
    11,688.87x = 112,310,363.53
  5. Step 5: Solve for x
    x = 112,310,363.53/11,688.87
  6. Step 6: Final answer
    x = 9,608.32

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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.