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Finding the Fourth Proportional to 7,833.84, 11,750.75 and 1,990.46

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Solution

The fourth proportional to 7,833.84, 11,750.75 and 1,990.46 is: 2,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.84 : 11,750.75 = 1,990.46 : x
  2. Step 2: Convert to fraction form
    7,833.84/11,750.75 = 1,990.46/x
  3. Step 3: Cross multiply
    7,833.84x = 11,750.75 × 1,990.46
  4. Step 4: Simplify right side
    7,833.84x = 23,389,329.14
  5. Step 5: Solve for x
    x = 23,389,329.14/7,833.84
  6. Step 6: Final answer
    x = 2,985.68

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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.