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Finding the Fourth Proportional to 11,861.16, 16,371.81 and 7,830.93

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Solution

The fourth proportional to 11,861.16, 16,371.81 and 7,830.93 is: 10,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.16 : 16,371.81 = 7,830.93 : x
  2. Step 2: Convert to fraction form
    11,861.16/16,371.81 = 7,830.93/x
  3. Step 3: Cross multiply
    11,861.16x = 16,371.81 × 7,830.93
  4. Step 4: Simplify right side
    11,861.16x = 128,206,498.08
  5. Step 5: Solve for x
    x = 128,206,498.08/11,861.16
  6. Step 6: Final answer
    x = 10,808.93

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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.