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Finding the Fourth Proportional to 8,846.60, 12,206.10 and 5,699

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Solution

The fourth proportional to 8,846.60, 12,206.10 and 5,699 is: 7,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.60 : 12,206.10 = 5,699 : x
  2. Step 2: Convert to fraction form
    8,846.60/12,206.10 = 5,699/x
  3. Step 3: Cross multiply
    8,846.60x = 12,206.10 × 5,699
  4. Step 4: Simplify right side
    8,846.60x = 69,562,563.90
  5. Step 5: Solve for x
    x = 69,562,563.90/8,846.60
  6. Step 6: Final answer
    x = 7,863.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.