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Finding the Fourth Proportional to 11,846.35, 16,354.96 and 7,875.73

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Solution

The fourth proportional to 11,846.35, 16,354.96 and 7,875.73 is: 10,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.35 : 16,354.96 = 7,875.73 : x
  2. Step 2: Convert to fraction form
    11,846.35/16,354.96 = 7,875.73/x
  3. Step 3: Cross multiply
    11,846.35x = 16,354.96 × 7,875.73
  4. Step 4: Simplify right side
    11,846.35x = 128,807,294.18
  5. Step 5: Solve for x
    x = 128,807,294.18/11,846.35
  6. Step 6: Final answer
    x = 10,873.16

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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.