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Finding the Fourth Proportional to 8,428.85, 12,635.43 and 3,746.40

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Solution

The fourth proportional to 8,428.85, 12,635.43 and 3,746.40 is: 5,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.85 : 12,635.43 = 3,746.40 : x
  2. Step 2: Convert to fraction form
    8,428.85/12,635.43 = 3,746.40/x
  3. Step 3: Cross multiply
    8,428.85x = 12,635.43 × 3,746.40
  4. Step 4: Simplify right side
    8,428.85x = 47,337,374.95
  5. Step 5: Solve for x
    x = 47,337,374.95/8,428.85
  6. Step 6: Final answer
    x = 5,616.11

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Why These Related Problems?

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