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Finding the Fourth Proportional to 8,415.50, 12,623.04 and 2,175.53

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Solution

The fourth proportional to 8,415.50, 12,623.04 and 2,175.53 is: 3,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.50 : 12,623.04 = 2,175.53 : x
  2. Step 2: Convert to fraction form
    8,415.50/12,623.04 = 2,175.53/x
  3. Step 3: Cross multiply
    8,415.50x = 12,623.04 × 2,175.53
  4. Step 4: Simplify right side
    8,415.50x = 27,461,739.10
  5. Step 5: Solve for x
    x = 27,461,739.10/8,415.50
  6. Step 6: Final answer
    x = 3,263.24

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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.