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Finding the Fourth Proportional to 8,922.26, 13,373.74 and 5,804.50

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Solution

The fourth proportional to 8,922.26, 13,373.74 and 5,804.50 is: 8,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.26 : 13,373.74 = 5,804.50 : x
  2. Step 2: Convert to fraction form
    8,922.26/13,373.74 = 5,804.50/x
  3. Step 3: Cross multiply
    8,922.26x = 13,373.74 × 5,804.50
  4. Step 4: Simplify right side
    8,922.26x = 77,627,873.83
  5. Step 5: Solve for x
    x = 77,627,873.83/8,922.26
  6. Step 6: Final answer
    x = 8,700.47

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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.