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Finding the Fourth Proportional to 7,682.09, 10,602.18 and 4,698.33

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Solution

The fourth proportional to 7,682.09, 10,602.18 and 4,698.33 is: 6,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.09 : 10,602.18 = 4,698.33 : x
  2. Step 2: Convert to fraction form
    7,682.09/10,602.18 = 4,698.33/x
  3. Step 3: Cross multiply
    7,682.09x = 10,602.18 × 4,698.33
  4. Step 4: Simplify right side
    7,682.09x = 49,812,540.36
  5. Step 5: Solve for x
    x = 49,812,540.36/7,682.09
  6. Step 6: Final answer
    x = 6,484.25

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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.