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Finding the Fourth Proportional to 8,142, 11,246.60 and 6,021.84

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Solution

The fourth proportional to 8,142, 11,246.60 and 6,021.84 is: 8,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 11,246.60 = 6,021.84 : x
  2. Step 2: Convert to fraction form
    8,142/11,246.60 = 6,021.84/x
  3. Step 3: Cross multiply
    8,142x = 11,246.60 × 6,021.84
  4. Step 4: Simplify right side
    8,142x = 67,725,225.74
  5. Step 5: Solve for x
    x = 67,725,225.74/8,142
  6. Step 6: Final answer
    x = 8,318.01

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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.