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Finding the Fourth Proportional to 8,242.16, 11,373.55 and 4,704.89

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Solution

The fourth proportional to 8,242.16, 11,373.55 and 4,704.89 is: 6,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.16 : 11,373.55 = 4,704.89 : x
  2. Step 2: Convert to fraction form
    8,242.16/11,373.55 = 4,704.89/x
  3. Step 3: Cross multiply
    8,242.16x = 11,373.55 × 4,704.89
  4. Step 4: Simplify right side
    8,242.16x = 53,511,233.03
  5. Step 5: Solve for x
    x = 53,511,233.03/8,242.16
  6. Step 6: Final answer
    x = 6,492.38

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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.