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Finding the Fourth Proportional to 7,090.76, 10,633.44 and 2,158.88

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Solution

The fourth proportional to 7,090.76, 10,633.44 and 2,158.88 is: 3,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.76 : 10,633.44 = 2,158.88 : x
  2. Step 2: Convert to fraction form
    7,090.76/10,633.44 = 2,158.88/x
  3. Step 3: Cross multiply
    7,090.76x = 10,633.44 × 2,158.88
  4. Step 4: Simplify right side
    7,090.76x = 22,956,320.95
  5. Step 5: Solve for x
    x = 22,956,320.95/7,090.76
  6. Step 6: Final answer
    x = 3,237.50

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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.