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Finding the Fourth Proportional to 10,416.90, 14,372.64 and 6,168.05

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Solution

The fourth proportional to 10,416.90, 14,372.64 and 6,168.05 is: 8,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.90 : 14,372.64 = 6,168.05 : x
  2. Step 2: Convert to fraction form
    10,416.90/14,372.64 = 6,168.05/x
  3. Step 3: Cross multiply
    10,416.90x = 14,372.64 × 6,168.05
  4. Step 4: Simplify right side
    10,416.90x = 88,651,144.19
  5. Step 5: Solve for x
    x = 88,651,144.19/10,416.90
  6. Step 6: Final answer
    x = 8,510.32

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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.