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Finding the Fourth Proportional to 11,238.75, 16,865.64 and 4,664.93

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Solution

The fourth proportional to 11,238.75, 16,865.64 and 4,664.93 is: 7,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.75 : 16,865.64 = 4,664.93 : x
  2. Step 2: Convert to fraction form
    11,238.75/16,865.64 = 4,664.93/x
  3. Step 3: Cross multiply
    11,238.75x = 16,865.64 × 4,664.93
  4. Step 4: Simplify right side
    11,238.75x = 78,677,030.01
  5. Step 5: Solve for x
    x = 78,677,030.01/11,238.75
  6. Step 6: Final answer
    x = 7,000.51

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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.