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Finding the Fourth Proportional to 8,310.34, 11,468.18 and 4,533.40

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Solution

The fourth proportional to 8,310.34, 11,468.18 and 4,533.40 is: 6,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.34 : 11,468.18 = 4,533.40 : x
  2. Step 2: Convert to fraction form
    8,310.34/11,468.18 = 4,533.40/x
  3. Step 3: Cross multiply
    8,310.34x = 11,468.18 × 4,533.40
  4. Step 4: Simplify right side
    8,310.34x = 51,989,847.21
  5. Step 5: Solve for x
    x = 51,989,847.21/8,310.34
  6. Step 6: Final answer
    x = 6,256.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.