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Finding the Fourth Proportional to 7,877.50, 11,818.17 and 2,405.50

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Solution

The fourth proportional to 7,877.50, 11,818.17 and 2,405.50 is: 3,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.50 : 11,818.17 = 2,405.50 : x
  2. Step 2: Convert to fraction form
    7,877.50/11,818.17 = 2,405.50/x
  3. Step 3: Cross multiply
    7,877.50x = 11,818.17 × 2,405.50
  4. Step 4: Simplify right side
    7,877.50x = 28,428,607.94
  5. Step 5: Solve for x
    x = 28,428,607.94/7,877.50
  6. Step 6: Final answer
    x = 3,608.84

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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.