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Finding the Fourth Proportional to 6,218.37, 8,583.16 and 4,968.13

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Solution

The fourth proportional to 6,218.37, 8,583.16 and 4,968.13 is: 6,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.37 : 8,583.16 = 4,968.13 : x
  2. Step 2: Convert to fraction form
    6,218.37/8,583.16 = 4,968.13/x
  3. Step 3: Cross multiply
    6,218.37x = 8,583.16 × 4,968.13
  4. Step 4: Simplify right side
    6,218.37x = 42,642,254.69
  5. Step 5: Solve for x
    x = 42,642,254.69/6,218.37
  6. Step 6: Final answer
    x = 6,857.47

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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.