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Finding the Fourth Proportional to 28,556.06, 42,834.03 and 7,779.50

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Solution

The fourth proportional to 28,556.06, 42,834.03 and 7,779.50 is: 11,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,556.06 : 42,834.03 = 7,779.50 : x
  2. Step 2: Convert to fraction form
    28,556.06/42,834.03 = 7,779.50/x
  3. Step 3: Cross multiply
    28,556.06x = 42,834.03 × 7,779.50
  4. Step 4: Simplify right side
    28,556.06x = 333,227,336.39
  5. Step 5: Solve for x
    x = 333,227,336.39/28,556.06
  6. Step 6: Final answer
    x = 11,669.23

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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.