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Finding the Fourth Proportional to 6,926.84, 10,393.30 and 3,639.16

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Solution

The fourth proportional to 6,926.84, 10,393.30 and 3,639.16 is: 5,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.84 : 10,393.30 = 3,639.16 : x
  2. Step 2: Convert to fraction form
    6,926.84/10,393.30 = 3,639.16/x
  3. Step 3: Cross multiply
    6,926.84x = 10,393.30 × 3,639.16
  4. Step 4: Simplify right side
    6,926.84x = 37,822,881.63
  5. Step 5: Solve for x
    x = 37,822,881.63/6,926.84
  6. Step 6: Final answer
    x = 5,460.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.