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Finding the Fourth Proportional to 7,467.16, 10,307.70 and 4,635.16

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Solution

The fourth proportional to 7,467.16, 10,307.70 and 4,635.16 is: 6,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.16 : 10,307.70 = 4,635.16 : x
  2. Step 2: Convert to fraction form
    7,467.16/10,307.70 = 4,635.16/x
  3. Step 3: Cross multiply
    7,467.16x = 10,307.70 × 4,635.16
  4. Step 4: Simplify right side
    7,467.16x = 47,777,838.73
  5. Step 5: Solve for x
    x = 47,777,838.73/7,467.16
  6. Step 6: Final answer
    x = 6,398.39

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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.