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Finding the Fourth Proportional to 7,108.50, 10,666.59 and 3,460.50

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Solution

The fourth proportional to 7,108.50, 10,666.59 and 3,460.50 is: 5,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.50 : 10,666.59 = 3,460.50 : x
  2. Step 2: Convert to fraction form
    7,108.50/10,666.59 = 3,460.50/x
  3. Step 3: Cross multiply
    7,108.50x = 10,666.59 × 3,460.50
  4. Step 4: Simplify right side
    7,108.50x = 36,911,734.70
  5. Step 5: Solve for x
    x = 36,911,734.70/7,108.50
  6. Step 6: Final answer
    x = 5,192.62

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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.