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Finding the Fourth Proportional to 8,237, 12,355.50 and 3,042.88

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Solution

The fourth proportional to 8,237, 12,355.50 and 3,042.88 is: 4,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237 : 12,355.50 = 3,042.88 : x
  2. Step 2: Convert to fraction form
    8,237/12,355.50 = 3,042.88/x
  3. Step 3: Cross multiply
    8,237x = 12,355.50 × 3,042.88
  4. Step 4: Simplify right side
    8,237x = 37,596,303.84
  5. Step 5: Solve for x
    x = 37,596,303.84/8,237
  6. Step 6: Final answer
    x = 4,564.32

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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.