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Finding the Fourth Proportional to 8,282.78, 12,364.48 and 7,100

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Solution

The fourth proportional to 8,282.78, 12,364.48 and 7,100 is: 10,598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.78 : 12,364.48 = 7,100 : x
  2. Step 2: Convert to fraction form
    8,282.78/12,364.48 = 7,100/x
  3. Step 3: Cross multiply
    8,282.78x = 12,364.48 × 7,100
  4. Step 4: Simplify right side
    8,282.78x = 87,787,808
  5. Step 5: Solve for x
    x = 87,787,808/8,282.78
  6. Step 6: Final answer
    x = 10,598.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.