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Finding the Fourth Proportional to 8,362.95, 11,540.99 and 4,586.06

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Solution

The fourth proportional to 8,362.95, 11,540.99 and 4,586.06 is: 6,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.95 : 11,540.99 = 4,586.06 : x
  2. Step 2: Convert to fraction form
    8,362.95/11,540.99 = 4,586.06/x
  3. Step 3: Cross multiply
    8,362.95x = 11,540.99 × 4,586.06
  4. Step 4: Simplify right side
    8,362.95x = 52,927,591.96
  5. Step 5: Solve for x
    x = 52,927,591.96/8,362.95
  6. Step 6: Final answer
    x = 6,328.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.