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Finding the Fourth Proportional to 7,634.34, 11,455.80 and 4,124.28

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Solution

The fourth proportional to 7,634.34, 11,455.80 and 4,124.28 is: 6,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.34 : 11,455.80 = 4,124.28 : x
  2. Step 2: Convert to fraction form
    7,634.34/11,455.80 = 4,124.28/x
  3. Step 3: Cross multiply
    7,634.34x = 11,455.80 × 4,124.28
  4. Step 4: Simplify right side
    7,634.34x = 47,246,926.82
  5. Step 5: Solve for x
    x = 47,246,926.82/7,634.34
  6. Step 6: Final answer
    x = 6,188.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.