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Finding the Fourth Proportional to 11,605.37, 15,999.95 and 9,223.30

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Solution

The fourth proportional to 11,605.37, 15,999.95 and 9,223.30 is: 12,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.37 : 15,999.95 = 9,223.30 : x
  2. Step 2: Convert to fraction form
    11,605.37/15,999.95 = 9,223.30/x
  3. Step 3: Cross multiply
    11,605.37x = 15,999.95 × 9,223.30
  4. Step 4: Simplify right side
    11,605.37x = 147,572,212.72
  5. Step 5: Solve for x
    x = 147,572,212.72/11,605.37
  6. Step 6: Final answer
    x = 12,715.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.