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Finding the Fourth Proportional to 10,447.57, 15,673.67 and 5,185.45

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Solution

The fourth proportional to 10,447.57, 15,673.67 and 5,185.45 is: 7,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.57 : 15,673.67 = 5,185.45 : x
  2. Step 2: Convert to fraction form
    10,447.57/15,673.67 = 5,185.45/x
  3. Step 3: Cross multiply
    10,447.57x = 15,673.67 × 5,185.45
  4. Step 4: Simplify right side
    10,447.57x = 81,275,032.10
  5. Step 5: Solve for x
    x = 81,275,032.10/10,447.57
  6. Step 6: Final answer
    x = 7,779.32

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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.