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Finding the Fourth Proportional to 7,327.50, 10,111.99 and 3,970.34

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Solution

The fourth proportional to 7,327.50, 10,111.99 and 3,970.34 is: 5,479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327.50 : 10,111.99 = 3,970.34 : x
  2. Step 2: Convert to fraction form
    7,327.50/10,111.99 = 3,970.34/x
  3. Step 3: Cross multiply
    7,327.50x = 10,111.99 × 3,970.34
  4. Step 4: Simplify right side
    7,327.50x = 40,148,038.38
  5. Step 5: Solve for x
    x = 40,148,038.38/7,327.50
  6. Step 6: Final answer
    x = 5,479.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.