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Finding the Fourth Proportional to 10,420.04, 15,663.92 and 8,362.59

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Solution

The fourth proportional to 10,420.04, 15,663.92 and 8,362.59 is: 12,571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.04 : 15,663.92 = 8,362.59 : x
  2. Step 2: Convert to fraction form
    10,420.04/15,663.92 = 8,362.59/x
  3. Step 3: Cross multiply
    10,420.04x = 15,663.92 × 8,362.59
  4. Step 4: Simplify right side
    10,420.04x = 130,990,940.75
  5. Step 5: Solve for x
    x = 130,990,940.75/10,420.04
  6. Step 6: Final answer
    x = 12,571.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.