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Finding the Fourth Proportional to 7,812.70, 10,781.32 and 4,789

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Solution

The fourth proportional to 7,812.70, 10,781.32 and 4,789 is: 6,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.70 : 10,781.32 = 4,789 : x
  2. Step 2: Convert to fraction form
    7,812.70/10,781.32 = 4,789/x
  3. Step 3: Cross multiply
    7,812.70x = 10,781.32 × 4,789
  4. Step 4: Simplify right side
    7,812.70x = 51,631,741.48
  5. Step 5: Solve for x
    x = 51,631,741.48/7,812.70
  6. Step 6: Final answer
    x = 6,608.69

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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.