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Finding the Fourth Proportional to 8,419.50, 11,619.18 and 4,693.50

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Solution

The fourth proportional to 8,419.50, 11,619.18 and 4,693.50 is: 6,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.50 : 11,619.18 = 4,693.50 : x
  2. Step 2: Convert to fraction form
    8,419.50/11,619.18 = 4,693.50/x
  3. Step 3: Cross multiply
    8,419.50x = 11,619.18 × 4,693.50
  4. Step 4: Simplify right side
    8,419.50x = 54,534,621.33
  5. Step 5: Solve for x
    x = 54,534,621.33/8,419.50
  6. Step 6: Final answer
    x = 6,477.18

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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.