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Finding the Fourth Proportional to 10,799.68, 14,903.50 and 6,083.84

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Solution

The fourth proportional to 10,799.68, 14,903.50 and 6,083.84 is: 8,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.68 : 14,903.50 = 6,083.84 : x
  2. Step 2: Convert to fraction form
    10,799.68/14,903.50 = 6,083.84/x
  3. Step 3: Cross multiply
    10,799.68x = 14,903.50 × 6,083.84
  4. Step 4: Simplify right side
    10,799.68x = 90,670,509.44
  5. Step 5: Solve for x
    x = 90,670,509.44/10,799.68
  6. Step 6: Final answer
    x = 8,395.67

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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.