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Finding the Fourth Proportional to 10,678.70, 16,014.97 and 4,013.13

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Solution

The fourth proportional to 10,678.70, 16,014.97 and 4,013.13 is: 6,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.70 : 16,014.97 = 4,013.13 : x
  2. Step 2: Convert to fraction form
    10,678.70/16,014.97 = 4,013.13/x
  3. Step 3: Cross multiply
    10,678.70x = 16,014.97 × 4,013.13
  4. Step 4: Simplify right side
    10,678.70x = 64,270,206.63
  5. Step 5: Solve for x
    x = 64,270,206.63/10,678.70
  6. Step 6: Final answer
    x = 6,018.54

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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.