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Finding the Fourth Proportional to 7,876.18, 11,806.98 and 4,411

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Solution

The fourth proportional to 7,876.18, 11,806.98 and 4,411 is: 6,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.18 : 11,806.98 = 4,411 : x
  2. Step 2: Convert to fraction form
    7,876.18/11,806.98 = 4,411/x
  3. Step 3: Cross multiply
    7,876.18x = 11,806.98 × 4,411
  4. Step 4: Simplify right side
    7,876.18x = 52,080,588.78
  5. Step 5: Solve for x
    x = 52,080,588.78/7,876.18
  6. Step 6: Final answer
    x = 6,612.42

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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.