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Finding the Fourth Proportional to 7,296, 10,068.49 and 4,152.19

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Solution

The fourth proportional to 7,296, 10,068.49 and 4,152.19 is: 5,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296 : 10,068.49 = 4,152.19 : x
  2. Step 2: Convert to fraction form
    7,296/10,068.49 = 4,152.19/x
  3. Step 3: Cross multiply
    7,296x = 10,068.49 × 4,152.19
  4. Step 4: Simplify right side
    7,296x = 41,806,283.49
  5. Step 5: Solve for x
    x = 41,806,283.49/7,296
  6. Step 6: Final answer
    x = 5,730.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.