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Finding the Fourth Proportional to 7,875.96, 11,814.75 and 3,494.40

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Solution

The fourth proportional to 7,875.96, 11,814.75 and 3,494.40 is: 5,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.96 : 11,814.75 = 3,494.40 : x
  2. Step 2: Convert to fraction form
    7,875.96/11,814.75 = 3,494.40/x
  3. Step 3: Cross multiply
    7,875.96x = 11,814.75 × 3,494.40
  4. Step 4: Simplify right side
    7,875.96x = 41,285,462.40
  5. Step 5: Solve for x
    x = 41,285,462.40/7,875.96
  6. Step 6: Final answer
    x = 5,241.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.