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Finding the Fourth Proportional to 6,316.16, 8,716.30 and 3,665.10

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Solution

The fourth proportional to 6,316.16, 8,716.30 and 3,665.10 is: 5,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.16 : 8,716.30 = 3,665.10 : x
  2. Step 2: Convert to fraction form
    6,316.16/8,716.30 = 3,665.10/x
  3. Step 3: Cross multiply
    6,316.16x = 8,716.30 × 3,665.10
  4. Step 4: Simplify right side
    6,316.16x = 31,946,111.13
  5. Step 5: Solve for x
    x = 31,946,111.13/6,316.16
  6. Step 6: Final answer
    x = 5,057.84

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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.