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Finding the Fourth Proportional to 11,923.73, 16,457.65 and 7,146.50

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Solution

The fourth proportional to 11,923.73, 16,457.65 and 7,146.50 is: 9,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.73 : 16,457.65 = 7,146.50 : x
  2. Step 2: Convert to fraction form
    11,923.73/16,457.65 = 7,146.50/x
  3. Step 3: Cross multiply
    11,923.73x = 16,457.65 × 7,146.50
  4. Step 4: Simplify right side
    11,923.73x = 117,614,652.13
  5. Step 5: Solve for x
    x = 117,614,652.13/11,923.73
  6. Step 6: Final answer
    x = 9,863.91

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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.