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Finding the Fourth Proportional to 11,809.94, 16,291.50 and 7,776.14

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Solution

The fourth proportional to 11,809.94, 16,291.50 and 7,776.14 is: 10,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.94 : 16,291.50 = 7,776.14 : x
  2. Step 2: Convert to fraction form
    11,809.94/16,291.50 = 7,776.14/x
  3. Step 3: Cross multiply
    11,809.94x = 16,291.50 × 7,776.14
  4. Step 4: Simplify right side
    11,809.94x = 126,684,984.81
  5. Step 5: Solve for x
    x = 126,684,984.81/11,809.94
  6. Step 6: Final answer
    x = 10,726.98

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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.