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Finding the Fourth Proportional to 8,924.26, 13,376.74 and 5,806.50

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Solution

The fourth proportional to 8,924.26, 13,376.74 and 5,806.50 is: 8,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.26 : 13,376.74 = 5,806.50 : x
  2. Step 2: Convert to fraction form
    8,924.26/13,376.74 = 5,806.50/x
  3. Step 3: Cross multiply
    8,924.26x = 13,376.74 × 5,806.50
  4. Step 4: Simplify right side
    8,924.26x = 77,672,040.81
  5. Step 5: Solve for x
    x = 77,672,040.81/8,924.26
  6. Step 6: Final answer
    x = 8,703.47

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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.