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Finding the Fourth Proportional to 8,416.68, 11,614.74 and 4,832.16

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Solution

The fourth proportional to 8,416.68, 11,614.74 and 4,832.16 is: 6,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.68 : 11,614.74 = 4,832.16 : x
  2. Step 2: Convert to fraction form
    8,416.68/11,614.74 = 4,832.16/x
  3. Step 3: Cross multiply
    8,416.68x = 11,614.74 × 4,832.16
  4. Step 4: Simplify right side
    8,416.68x = 56,124,282.04
  5. Step 5: Solve for x
    x = 56,124,282.04/8,416.68
  6. Step 6: Final answer
    x = 6,668.22

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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.