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Finding the Fourth Proportional to 8,430.24, 12,654 and 5,967.84

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Solution

The fourth proportional to 8,430.24, 12,654 and 5,967.84 is: 8,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.24 : 12,654 = 5,967.84 : x
  2. Step 2: Convert to fraction form
    8,430.24/12,654 = 5,967.84/x
  3. Step 3: Cross multiply
    8,430.24x = 12,654 × 5,967.84
  4. Step 4: Simplify right side
    8,430.24x = 75,517,047.36
  5. Step 5: Solve for x
    x = 75,517,047.36/8,430.24
  6. Step 6: Final answer
    x = 8,957.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.