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Finding the Fourth Proportional to 11,203.45, 16,807.20 and 5,642.80

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Solution

The fourth proportional to 11,203.45, 16,807.20 and 5,642.80 is: 8,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.45 : 16,807.20 = 5,642.80 : x
  2. Step 2: Convert to fraction form
    11,203.45/16,807.20 = 5,642.80/x
  3. Step 3: Cross multiply
    11,203.45x = 16,807.20 × 5,642.80
  4. Step 4: Simplify right side
    11,203.45x = 94,839,668.16
  5. Step 5: Solve for x
    x = 94,839,668.16/11,203.45
  6. Step 6: Final answer
    x = 8,465.22

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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.