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Finding the Fourth Proportional to 11,875.40, 16,380.91 and 7,842.26

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Solution

The fourth proportional to 11,875.40, 16,380.91 and 7,842.26 is: 10,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.40 : 16,380.91 = 7,842.26 : x
  2. Step 2: Convert to fraction form
    11,875.40/16,380.91 = 7,842.26/x
  3. Step 3: Cross multiply
    11,875.40x = 16,380.91 × 7,842.26
  4. Step 4: Simplify right side
    11,875.40x = 128,463,355.26
  5. Step 5: Solve for x
    x = 128,463,355.26/11,875.40
  6. Step 6: Final answer
    x = 10,817.60

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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.