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Finding the Fourth Proportional to 7,683.59, 10,604.36 and 4,327.06

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Solution

The fourth proportional to 7,683.59, 10,604.36 and 4,327.06 is: 5,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.59 : 10,604.36 = 4,327.06 : x
  2. Step 2: Convert to fraction form
    7,683.59/10,604.36 = 4,327.06/x
  3. Step 3: Cross multiply
    7,683.59x = 10,604.36 × 4,327.06
  4. Step 4: Simplify right side
    7,683.59x = 45,885,701.98
  5. Step 5: Solve for x
    x = 45,885,701.98/7,683.59
  6. Step 6: Final answer
    x = 5,971.91

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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.