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Finding the Fourth Proportional to 7,006.74, 10,507.05 and 3,719.10

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Solution

The fourth proportional to 7,006.74, 10,507.05 and 3,719.10 is: 5,577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.74 : 10,507.05 = 3,719.10 : x
  2. Step 2: Convert to fraction form
    7,006.74/10,507.05 = 3,719.10/x
  3. Step 3: Cross multiply
    7,006.74x = 10,507.05 × 3,719.10
  4. Step 4: Simplify right side
    7,006.74x = 39,076,769.66
  5. Step 5: Solve for x
    x = 39,076,769.66/7,006.74
  6. Step 6: Final answer
    x = 5,577.03

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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.