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Finding the Fourth Proportional to 10,458.68, 15,683.90 and 4,217.54

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Solution

The fourth proportional to 10,458.68, 15,683.90 and 4,217.54 is: 6,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.68 : 15,683.90 = 4,217.54 : x
  2. Step 2: Convert to fraction form
    10,458.68/15,683.90 = 4,217.54/x
  3. Step 3: Cross multiply
    10,458.68x = 15,683.90 × 4,217.54
  4. Step 4: Simplify right side
    10,458.68x = 66,147,376.10
  5. Step 5: Solve for x
    x = 66,147,376.10/10,458.68
  6. Step 6: Final answer
    x = 6,324.64

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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.