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Finding the Fourth Proportional to 8,369.02, 12,537.30 and 4,660

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Solution

The fourth proportional to 8,369.02, 12,537.30 and 4,660 is: 6,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.02 : 12,537.30 = 4,660 : x
  2. Step 2: Convert to fraction form
    8,369.02/12,537.30 = 4,660/x
  3. Step 3: Cross multiply
    8,369.02x = 12,537.30 × 4,660
  4. Step 4: Simplify right side
    8,369.02x = 58,423,818
  5. Step 5: Solve for x
    x = 58,423,818/8,369.02
  6. Step 6: Final answer
    x = 6,980.96

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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.