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Finding the Fourth Proportional to 7,812.26, 10,782.12 and 4,980.86

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Solution

The fourth proportional to 7,812.26, 10,782.12 and 4,980.86 is: 6,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.26 : 10,782.12 = 4,980.86 : x
  2. Step 2: Convert to fraction form
    7,812.26/10,782.12 = 4,980.86/x
  3. Step 3: Cross multiply
    7,812.26x = 10,782.12 × 4,980.86
  4. Step 4: Simplify right side
    7,812.26x = 53,704,230.22
  5. Step 5: Solve for x
    x = 53,704,230.22/7,812.26
  6. Step 6: Final answer
    x = 6,874.35

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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.