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Finding the Fourth Proportional to 7,850.60, 10,823.00 and 6,262.63

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Solution

The fourth proportional to 7,850.60, 10,823.00 and 6,262.63 is: 8,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.60 : 10,823.00 = 6,262.63 : x
  2. Step 2: Convert to fraction form
    7,850.60/10,823.00 = 6,262.63/x
  3. Step 3: Cross multiply
    7,850.60x = 10,823.00 × 6,262.63
  4. Step 4: Simplify right side
    7,850.60x = 67,780,482.23
  5. Step 5: Solve for x
    x = 67,780,482.23/7,850.60
  6. Step 6: Final answer
    x = 8,633.80

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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.