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Finding the Fourth Proportional to 10,678.68, 16,019.56 and 3,283.76

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Solution

The fourth proportional to 10,678.68, 16,019.56 and 3,283.76 is: 4,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.68 : 16,019.56 = 3,283.76 : x
  2. Step 2: Convert to fraction form
    10,678.68/16,019.56 = 3,283.76/x
  3. Step 3: Cross multiply
    10,678.68x = 16,019.56 × 3,283.76
  4. Step 4: Simplify right side
    10,678.68x = 52,604,422.19
  5. Step 5: Solve for x
    x = 52,604,422.19/10,678.68
  6. Step 6: Final answer
    x = 4,926.11

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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.