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Finding the Fourth Proportional to 8,420, 11,619.36 and 4,643.18

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Solution

The fourth proportional to 8,420, 11,619.36 and 4,643.18 is: 6,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420 : 11,619.36 = 4,643.18 : x
  2. Step 2: Convert to fraction form
    8,420/11,619.36 = 4,643.18/x
  3. Step 3: Cross multiply
    8,420x = 11,619.36 × 4,643.18
  4. Step 4: Simplify right side
    8,420x = 53,950,779.96
  5. Step 5: Solve for x
    x = 53,950,779.96/8,420
  6. Step 6: Final answer
    x = 6,407.46

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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.