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Finding the Fourth Proportional to 11,710.95, 16,166.69 and 7,237.32

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Solution

The fourth proportional to 11,710.95, 16,166.69 and 7,237.32 is: 9,990.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.95 : 16,166.69 = 7,237.32 : x
  2. Step 2: Convert to fraction form
    11,710.95/16,166.69 = 7,237.32/x
  3. Step 3: Cross multiply
    11,710.95x = 16,166.69 × 7,237.32
  4. Step 4: Simplify right side
    11,710.95x = 117,003,472.68
  5. Step 5: Solve for x
    x = 117,003,472.68/11,710.95
  6. Step 6: Final answer
    x = 9,990.95

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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.