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Finding the Fourth Proportional to 7,185.31, 10,777.15 and 1,920.86

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Solution

The fourth proportional to 7,185.31, 10,777.15 and 1,920.86 is: 2,881.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.31 : 10,777.15 = 1,920.86 : x
  2. Step 2: Convert to fraction form
    7,185.31/10,777.15 = 1,920.86/x
  3. Step 3: Cross multiply
    7,185.31x = 10,777.15 × 1,920.86
  4. Step 4: Simplify right side
    7,185.31x = 20,701,445.90
  5. Step 5: Solve for x
    x = 20,701,445.90/7,185.31
  6. Step 6: Final answer
    x = 2,881.08

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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.