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Finding the Fourth Proportional to 7,888.45, 11,833.62 and 3,207.46

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Solution

The fourth proportional to 7,888.45, 11,833.62 and 3,207.46 is: 4,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.45 : 11,833.62 = 3,207.46 : x
  2. Step 2: Convert to fraction form
    7,888.45/11,833.62 = 3,207.46/x
  3. Step 3: Cross multiply
    7,888.45x = 11,833.62 × 3,207.46
  4. Step 4: Simplify right side
    7,888.45x = 37,955,862.81
  5. Step 5: Solve for x
    x = 37,955,862.81/7,888.45
  6. Step 6: Final answer
    x = 4,811.57

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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.