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Finding the Fourth Proportional to 7,296, 10,071.04 and 4,352

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Solution

The fourth proportional to 7,296, 10,071.04 and 4,352 is: 6,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296 : 10,071.04 = 4,352 : x
  2. Step 2: Convert to fraction form
    7,296/10,071.04 = 4,352/x
  3. Step 3: Cross multiply
    7,296x = 10,071.04 × 4,352
  4. Step 4: Simplify right side
    7,296x = 43,829,166.08
  5. Step 5: Solve for x
    x = 43,829,166.08/7,296
  6. Step 6: Final answer
    x = 6,007.29

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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.