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Finding the Fourth Proportional to 11,851.37, 16,352.75 and 7,657.19

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Solution

The fourth proportional to 11,851.37, 16,352.75 and 7,657.19 is: 10,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.37 : 16,352.75 = 7,657.19 : x
  2. Step 2: Convert to fraction form
    11,851.37/16,352.75 = 7,657.19/x
  3. Step 3: Cross multiply
    11,851.37x = 16,352.75 × 7,657.19
  4. Step 4: Simplify right side
    11,851.37x = 125,216,113.77
  5. Step 5: Solve for x
    x = 125,216,113.77/11,851.37
  6. Step 6: Final answer
    x = 10,565.54

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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.