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Finding the Fourth Proportional to 8,423.52, 11,624.45 and 4,838.72

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Solution

The fourth proportional to 8,423.52, 11,624.45 and 4,838.72 is: 6,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.52 : 11,624.45 = 4,838.72 : x
  2. Step 2: Convert to fraction form
    8,423.52/11,624.45 = 4,838.72/x
  3. Step 3: Cross multiply
    8,423.52x = 11,624.45 × 4,838.72
  4. Step 4: Simplify right side
    8,423.52x = 56,247,376.39
  5. Step 5: Solve for x
    x = 56,247,376.39/8,423.52
  6. Step 6: Final answer
    x = 6,677.42

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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.