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Finding the Fourth Proportional to 8,430.98, 12,647.84 and 3,166.40

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Solution

The fourth proportional to 8,430.98, 12,647.84 and 3,166.40 is: 4,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.98 : 12,647.84 = 3,166.40 : x
  2. Step 2: Convert to fraction form
    8,430.98/12,647.84 = 3,166.40/x
  3. Step 3: Cross multiply
    8,430.98x = 12,647.84 × 3,166.40
  4. Step 4: Simplify right side
    8,430.98x = 40,048,120.58
  5. Step 5: Solve for x
    x = 40,048,120.58/8,430.98
  6. Step 6: Final answer
    x = 4,750.11

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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.