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Finding the Fourth Proportional to 7,683.10, 10,598.79 and 4,494.31

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Solution

The fourth proportional to 7,683.10, 10,598.79 and 4,494.31 is: 6,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.10 : 10,598.79 = 4,494.31 : x
  2. Step 2: Convert to fraction form
    7,683.10/10,598.79 = 4,494.31/x
  3. Step 3: Cross multiply
    7,683.10x = 10,598.79 × 4,494.31
  4. Step 4: Simplify right side
    7,683.10x = 47,634,247.88
  5. Step 5: Solve for x
    x = 47,634,247.88/7,683.10
  6. Step 6: Final answer
    x = 6,199.87

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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.