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Finding the Fourth Proportional to 7,907.50, 11,857.47 and 2,358.89

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Solution

The fourth proportional to 7,907.50, 11,857.47 and 2,358.89 is: 3,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.50 : 11,857.47 = 2,358.89 : x
  2. Step 2: Convert to fraction form
    7,907.50/11,857.47 = 2,358.89/x
  3. Step 3: Cross multiply
    7,907.50x = 11,857.47 × 2,358.89
  4. Step 4: Simplify right side
    7,907.50x = 27,970,467.41
  5. Step 5: Solve for x
    x = 27,970,467.41/7,907.50
  6. Step 6: Final answer
    x = 3,537.21

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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.