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Finding the Fourth Proportional to 8,062, 12,097.86 and 3,445

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Solution

The fourth proportional to 8,062, 12,097.86 and 3,445 is: 5,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062 : 12,097.86 = 3,445 : x
  2. Step 2: Convert to fraction form
    8,062/12,097.86 = 3,445/x
  3. Step 3: Cross multiply
    8,062x = 12,097.86 × 3,445
  4. Step 4: Simplify right side
    8,062x = 41,677,127.70
  5. Step 5: Solve for x
    x = 41,677,127.70/8,062
  6. Step 6: Final answer
    x = 5,169.58

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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.