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Finding the Fourth Proportional to 10,678.62, 16,017.93 and 3,751.50

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Solution

The fourth proportional to 10,678.62, 16,017.93 and 3,751.50 is: 5,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.62 : 16,017.93 = 3,751.50 : x
  2. Step 2: Convert to fraction form
    10,678.62/16,017.93 = 3,751.50/x
  3. Step 3: Cross multiply
    10,678.62x = 16,017.93 × 3,751.50
  4. Step 4: Simplify right side
    10,678.62x = 60,091,264.40
  5. Step 5: Solve for x
    x = 60,091,264.40/10,678.62
  6. Step 6: Final answer
    x = 5,627.25

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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.