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Finding the Fourth Proportional to 7,827.68, 11,740.92 and 3,445.16

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Solution

The fourth proportional to 7,827.68, 11,740.92 and 3,445.16 is: 5,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.68 : 11,740.92 = 3,445.16 : x
  2. Step 2: Convert to fraction form
    7,827.68/11,740.92 = 3,445.16/x
  3. Step 3: Cross multiply
    7,827.68x = 11,740.92 × 3,445.16
  4. Step 4: Simplify right side
    7,827.68x = 40,449,347.95
  5. Step 5: Solve for x
    x = 40,449,347.95/7,827.68
  6. Step 6: Final answer
    x = 5,167.48

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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.