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Finding the Fourth Proportional to 8,420.56, 12,614.66 and 4,711.54

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Solution

The fourth proportional to 8,420.56, 12,614.66 and 4,711.54 is: 7,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.56 : 12,614.66 = 4,711.54 : x
  2. Step 2: Convert to fraction form
    8,420.56/12,614.66 = 4,711.54/x
  3. Step 3: Cross multiply
    8,420.56x = 12,614.66 × 4,711.54
  4. Step 4: Simplify right side
    8,420.56x = 59,434,475.18
  5. Step 5: Solve for x
    x = 59,434,475.18/8,420.56
  6. Step 6: Final answer
    x = 7,058.26

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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.