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Finding the Fourth Proportional to 7,890.94, 11,837.85 and 6,125.50

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Solution

The fourth proportional to 7,890.94, 11,837.85 and 6,125.50 is: 9,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.94 : 11,837.85 = 6,125.50 : x
  2. Step 2: Convert to fraction form
    7,890.94/11,837.85 = 6,125.50/x
  3. Step 3: Cross multiply
    7,890.94x = 11,837.85 × 6,125.50
  4. Step 4: Simplify right side
    7,890.94x = 72,512,750.18
  5. Step 5: Solve for x
    x = 72,512,750.18/7,890.94
  6. Step 6: Final answer
    x = 9,189.37

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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.