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Finding the Fourth Proportional to 8,310.56, 12,434.45 and 4,615.43

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Solution

The fourth proportional to 8,310.56, 12,434.45 and 4,615.43 is: 6,905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.56 : 12,434.45 = 4,615.43 : x
  2. Step 2: Convert to fraction form
    8,310.56/12,434.45 = 4,615.43/x
  3. Step 3: Cross multiply
    8,310.56x = 12,434.45 × 4,615.43
  4. Step 4: Simplify right side
    8,310.56x = 57,390,248.31
  5. Step 5: Solve for x
    x = 57,390,248.31/8,310.56
  6. Step 6: Final answer
    x = 6,905.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.