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Finding the Fourth Proportional to 10,455.54, 15,683.73 and 4,610.82

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Solution

The fourth proportional to 10,455.54, 15,683.73 and 4,610.82 is: 6,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.54 : 15,683.73 = 4,610.82 : x
  2. Step 2: Convert to fraction form
    10,455.54/15,683.73 = 4,610.82/x
  3. Step 3: Cross multiply
    10,455.54x = 15,683.73 × 4,610.82
  4. Step 4: Simplify right side
    10,455.54x = 72,314,855.96
  5. Step 5: Solve for x
    x = 72,314,855.96/10,455.54
  6. Step 6: Final answer
    x = 6,916.42

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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.