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Finding the Fourth Proportional to 7,781.86, 10,740.36 and 4,638.25

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Solution

The fourth proportional to 7,781.86, 10,740.36 and 4,638.25 is: 6,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.86 : 10,740.36 = 4,638.25 : x
  2. Step 2: Convert to fraction form
    7,781.86/10,740.36 = 4,638.25/x
  3. Step 3: Cross multiply
    7,781.86x = 10,740.36 × 4,638.25
  4. Step 4: Simplify right side
    7,781.86x = 49,816,474.77
  5. Step 5: Solve for x
    x = 49,816,474.77/7,781.86
  6. Step 6: Final answer
    x = 6,401.62

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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.