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Finding the Fourth Proportional to 8,430.35, 11,634.64 and 4,654.33

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Solution

The fourth proportional to 8,430.35, 11,634.64 and 4,654.33 is: 6,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.35 : 11,634.64 = 4,654.33 : x
  2. Step 2: Convert to fraction form
    8,430.35/11,634.64 = 4,654.33/x
  3. Step 3: Cross multiply
    8,430.35x = 11,634.64 × 4,654.33
  4. Step 4: Simplify right side
    8,430.35x = 54,151,413.27
  5. Step 5: Solve for x
    x = 54,151,413.27/8,430.35
  6. Step 6: Final answer
    x = 6,423.39

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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.