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Finding the Fourth Proportional to 7,781.66, 10,738.74 and 4,244.93

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Solution

The fourth proportional to 7,781.66, 10,738.74 and 4,244.93 is: 5,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.66 : 10,738.74 = 4,244.93 : x
  2. Step 2: Convert to fraction form
    7,781.66/10,738.74 = 4,244.93/x
  3. Step 3: Cross multiply
    7,781.66x = 10,738.74 × 4,244.93
  4. Step 4: Simplify right side
    7,781.66x = 45,585,145.89
  5. Step 5: Solve for x
    x = 45,585,145.89/7,781.66
  6. Step 6: Final answer
    x = 5,858.03

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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.