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Finding the Fourth Proportional to 8,412.60, 11,754.60 and 8,412.60

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Solution

The fourth proportional to 8,412.60, 11,754.60 and 8,412.60 is: 11,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.60 : 11,754.60 = 8,412.60 : x
  2. Step 2: Convert to fraction form
    8,412.60/11,754.60 = 8,412.60/x
  3. Step 3: Cross multiply
    8,412.60x = 11,754.60 × 8,412.60
  4. Step 4: Simplify right side
    8,412.60x = 98,886,747.96
  5. Step 5: Solve for x
    x = 98,886,747.96/8,412.60
  6. Step 6: Final answer
    x = 11,754.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.