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Finding the Fourth Proportional to 8,298.12, 11,445.71 and 4,938.34

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Solution

The fourth proportional to 8,298.12, 11,445.71 and 4,938.34 is: 6,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.12 : 11,445.71 = 4,938.34 : x
  2. Step 2: Convert to fraction form
    8,298.12/11,445.71 = 4,938.34/x
  3. Step 3: Cross multiply
    8,298.12x = 11,445.71 × 4,938.34
  4. Step 4: Simplify right side
    8,298.12x = 56,522,725.60
  5. Step 5: Solve for x
    x = 56,522,725.60/8,298.12
  6. Step 6: Final answer
    x = 6,811.51

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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.