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Finding the Fourth Proportional to 7,875.37, 11,813.04 and 5,402.65

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Solution

The fourth proportional to 7,875.37, 11,813.04 and 5,402.65 is: 8,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.37 : 11,813.04 = 5,402.65 : x
  2. Step 2: Convert to fraction form
    7,875.37/11,813.04 = 5,402.65/x
  3. Step 3: Cross multiply
    7,875.37x = 11,813.04 × 5,402.65
  4. Step 4: Simplify right side
    7,875.37x = 63,821,720.56
  5. Step 5: Solve for x
    x = 63,821,720.56/7,875.37
  6. Step 6: Final answer
    x = 8,103.96

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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.