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Finding the Fourth Proportional to 7,812, 10,784.12 and 4,983.26

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Solution

The fourth proportional to 7,812, 10,784.12 and 4,983.26 is: 6,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812 : 10,784.12 = 4,983.26 : x
  2. Step 2: Convert to fraction form
    7,812/10,784.12 = 4,983.26/x
  3. Step 3: Cross multiply
    7,812x = 10,784.12 × 4,983.26
  4. Step 4: Simplify right side
    7,812x = 53,739,994.99
  5. Step 5: Solve for x
    x = 53,739,994.99/7,812
  6. Step 6: Final answer
    x = 6,879.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.