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Finding the Fourth Proportional to 8,388.34, 11,572.93 and 4,984.50

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Solution

The fourth proportional to 8,388.34, 11,572.93 and 4,984.50 is: 6,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.34 : 11,572.93 = 4,984.50 : x
  2. Step 2: Convert to fraction form
    8,388.34/11,572.93 = 4,984.50/x
  3. Step 3: Cross multiply
    8,388.34x = 11,572.93 × 4,984.50
  4. Step 4: Simplify right side
    8,388.34x = 57,685,269.59
  5. Step 5: Solve for x
    x = 57,685,269.59/8,388.34
  6. Step 6: Final answer
    x = 6,876.84

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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.