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Finding the Fourth Proportional to 6,975.84, 10,445.04 and 3,682.08

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Solution

The fourth proportional to 6,975.84, 10,445.04 and 3,682.08 is: 5,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.84 : 10,445.04 = 3,682.08 : x
  2. Step 2: Convert to fraction form
    6,975.84/10,445.04 = 3,682.08/x
  3. Step 3: Cross multiply
    6,975.84x = 10,445.04 × 3,682.08
  4. Step 4: Simplify right side
    6,975.84x = 38,459,472.88
  5. Step 5: Solve for x
    x = 38,459,472.88/6,975.84
  6. Step 6: Final answer
    x = 5,513.24

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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.