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Finding the Fourth Proportional to 10,678.03, 16,017.04 and 3,280.50

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Solution

The fourth proportional to 10,678.03, 16,017.04 and 3,280.50 is: 4,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.03 : 16,017.04 = 3,280.50 : x
  2. Step 2: Convert to fraction form
    10,678.03/16,017.04 = 3,280.50/x
  3. Step 3: Cross multiply
    10,678.03x = 16,017.04 × 3,280.50
  4. Step 4: Simplify right side
    10,678.03x = 52,543,903.82
  5. Step 5: Solve for x
    x = 52,543,903.82/10,678.03
  6. Step 6: Final answer
    x = 4,920.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.