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Finding the Fourth Proportional to 7,048.50, 10,572.34 and 2,118.03

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Solution

The fourth proportional to 7,048.50, 10,572.34 and 2,118.03 is: 3,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.50 : 10,572.34 = 2,118.03 : x
  2. Step 2: Convert to fraction form
    7,048.50/10,572.34 = 2,118.03/x
  3. Step 3: Cross multiply
    7,048.50x = 10,572.34 × 2,118.03
  4. Step 4: Simplify right side
    7,048.50x = 22,392,533.29
  5. Step 5: Solve for x
    x = 22,392,533.29/7,048.50
  6. Step 6: Final answer
    x = 3,176.92

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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.