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Finding the Fourth Proportional to 11,875.14, 16,385.04 and 7,093.80

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Solution

The fourth proportional to 11,875.14, 16,385.04 and 7,093.80 is: 9,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.14 : 16,385.04 = 7,093.80 : x
  2. Step 2: Convert to fraction form
    11,875.14/16,385.04 = 7,093.80/x
  3. Step 3: Cross multiply
    11,875.14x = 16,385.04 × 7,093.80
  4. Step 4: Simplify right side
    11,875.14x = 116,232,196.75
  5. Step 5: Solve for x
    x = 116,232,196.75/11,875.14
  6. Step 6: Final answer
    x = 9,787.86

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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.