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Finding the Fourth Proportional to 7,851.35, 10,807.77 and 6,782.63

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Solution

The fourth proportional to 7,851.35, 10,807.77 and 6,782.63 is: 9,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.35 : 10,807.77 = 6,782.63 : x
  2. Step 2: Convert to fraction form
    7,851.35/10,807.77 = 6,782.63/x
  3. Step 3: Cross multiply
    7,851.35x = 10,807.77 × 6,782.63
  4. Step 4: Simplify right side
    7,851.35x = 73,305,051.00
  5. Step 5: Solve for x
    x = 73,305,051.00/7,851.35
  6. Step 6: Final answer
    x = 9,336.62

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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.