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Finding the Fourth Proportional to 7,213.50, 10,802.84 and 3,506.58

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Solution

The fourth proportional to 7,213.50, 10,802.84 and 3,506.58 is: 5,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.50 : 10,802.84 = 3,506.58 : x
  2. Step 2: Convert to fraction form
    7,213.50/10,802.84 = 3,506.58/x
  3. Step 3: Cross multiply
    7,213.50x = 10,802.84 × 3,506.58
  4. Step 4: Simplify right side
    7,213.50x = 37,881,005.15
  5. Step 5: Solve for x
    x = 37,881,005.15/7,213.50
  6. Step 6: Final answer
    x = 5,251.40

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Why These Related Problems?

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