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Finding the Fourth Proportional to 11,590.16, 17,375.88 and 4,658

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Solution

The fourth proportional to 11,590.16, 17,375.88 and 4,658 is: 6,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.16 : 17,375.88 = 4,658 : x
  2. Step 2: Convert to fraction form
    11,590.16/17,375.88 = 4,658/x
  3. Step 3: Cross multiply
    11,590.16x = 17,375.88 × 4,658
  4. Step 4: Simplify right side
    11,590.16x = 80,936,849.04
  5. Step 5: Solve for x
    x = 80,936,849.04/11,590.16
  6. Step 6: Final answer
    x = 6,983.24

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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.