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Finding the Fourth Proportional to 11,124.80, 16,647.63 and 9,583.10

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Solution

The fourth proportional to 11,124.80, 16,647.63 and 9,583.10 is: 14,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.80 : 16,647.63 = 9,583.10 : x
  2. Step 2: Convert to fraction form
    11,124.80/16,647.63 = 9,583.10/x
  3. Step 3: Cross multiply
    11,124.80x = 16,647.63 × 9,583.10
  4. Step 4: Simplify right side
    11,124.80x = 159,535,903.05
  5. Step 5: Solve for x
    x = 159,535,903.05/11,124.80
  6. Step 6: Final answer
    x = 14,340.56

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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.