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Finding the Fourth Proportional to 7,635.58, 11,458.50 and 2,705.20

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Solution

The fourth proportional to 7,635.58, 11,458.50 and 2,705.20 is: 4,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.58 : 11,458.50 = 2,705.20 : x
  2. Step 2: Convert to fraction form
    7,635.58/11,458.50 = 2,705.20/x
  3. Step 3: Cross multiply
    7,635.58x = 11,458.50 × 2,705.20
  4. Step 4: Simplify right side
    7,635.58x = 30,997,534.20
  5. Step 5: Solve for x
    x = 30,997,534.20/7,635.58
  6. Step 6: Final answer
    x = 4,059.62

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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.