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Finding the Fourth Proportional to 11,406.57, 17,109.63 and 3,087.77

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Solution

The fourth proportional to 11,406.57, 17,109.63 and 3,087.77 is: 4,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.57 : 17,109.63 = 3,087.77 : x
  2. Step 2: Convert to fraction form
    11,406.57/17,109.63 = 3,087.77/x
  3. Step 3: Cross multiply
    11,406.57x = 17,109.63 × 3,087.77
  4. Step 4: Simplify right side
    11,406.57x = 52,830,612.92
  5. Step 5: Solve for x
    x = 52,830,612.92/11,406.57
  6. Step 6: Final answer
    x = 4,631.59

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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.