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Finding the Fourth Proportional to 8,645.70, 12,967.26 and 2,405.06

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Solution

The fourth proportional to 8,645.70, 12,967.26 and 2,405.06 is: 3,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.70 : 12,967.26 = 2,405.06 : x
  2. Step 2: Convert to fraction form
    8,645.70/12,967.26 = 2,405.06/x
  3. Step 3: Cross multiply
    8,645.70x = 12,967.26 × 2,405.06
  4. Step 4: Simplify right side
    8,645.70x = 31,187,038.34
  5. Step 5: Solve for x
    x = 31,187,038.34/8,645.70
  6. Step 6: Final answer
    x = 3,607.23

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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.