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Finding the Fourth Proportional to 8,953.26, 13,405.86 and 5,823.96

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Solution

The fourth proportional to 8,953.26, 13,405.86 and 5,823.96 is: 8,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.26 : 13,405.86 = 5,823.96 : x
  2. Step 2: Convert to fraction form
    8,953.26/13,405.86 = 5,823.96/x
  3. Step 3: Cross multiply
    8,953.26x = 13,405.86 × 5,823.96
  4. Step 4: Simplify right side
    8,953.26x = 78,075,192.41
  5. Step 5: Solve for x
    x = 78,075,192.41/8,953.26
  6. Step 6: Final answer
    x = 8,720.31

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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.