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Finding the Fourth Proportional to 7,101.56, 10,646.25 and 2,722.16

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Solution

The fourth proportional to 7,101.56, 10,646.25 and 2,722.16 is: 4,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.56 : 10,646.25 = 2,722.16 : x
  2. Step 2: Convert to fraction form
    7,101.56/10,646.25 = 2,722.16/x
  3. Step 3: Cross multiply
    7,101.56x = 10,646.25 × 2,722.16
  4. Step 4: Simplify right side
    7,101.56x = 28,980,742.67
  5. Step 5: Solve for x
    x = 28,980,742.67/7,101.56
  6. Step 6: Final answer
    x = 4,080.90

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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.