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Finding the Fourth Proportional to 10,678.38, 16,019.10 and 3,283.46

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Solution

The fourth proportional to 10,678.38, 16,019.10 and 3,283.46 is: 4,925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.38 : 16,019.10 = 3,283.46 : x
  2. Step 2: Convert to fraction form
    10,678.38/16,019.10 = 3,283.46/x
  3. Step 3: Cross multiply
    10,678.38x = 16,019.10 × 3,283.46
  4. Step 4: Simplify right side
    10,678.38x = 52,598,031.54
  5. Step 5: Solve for x
    x = 52,598,031.54/10,678.38
  6. Step 6: Final answer
    x = 4,925.66

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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.