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Finding the Fourth Proportional to 8,124.60, 11,204.14 and 4,938.40

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Solution

The fourth proportional to 8,124.60, 11,204.14 and 4,938.40 is: 6,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.60 : 11,204.14 = 4,938.40 : x
  2. Step 2: Convert to fraction form
    8,124.60/11,204.14 = 4,938.40/x
  3. Step 3: Cross multiply
    8,124.60x = 11,204.14 × 4,938.40
  4. Step 4: Simplify right side
    8,124.60x = 55,330,524.98
  5. Step 5: Solve for x
    x = 55,330,524.98/8,124.60
  6. Step 6: Final answer
    x = 6,810.25

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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.