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Finding the Fourth Proportional to 11,227.14, 16,830.48 and 7,054.50

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Solution

The fourth proportional to 11,227.14, 16,830.48 and 7,054.50 is: 10,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.14 : 16,830.48 = 7,054.50 : x
  2. Step 2: Convert to fraction form
    11,227.14/16,830.48 = 7,054.50/x
  3. Step 3: Cross multiply
    11,227.14x = 16,830.48 × 7,054.50
  4. Step 4: Simplify right side
    11,227.14x = 118,730,621.16
  5. Step 5: Solve for x
    x = 118,730,621.16/11,227.14
  6. Step 6: Final answer
    x = 10,575.32

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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.