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Finding the Fourth Proportional to 10,724.88, 16,074.88 and 6,346

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Solution

The fourth proportional to 10,724.88, 16,074.88 and 6,346 is: 9,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.88 : 16,074.88 = 6,346 : x
  2. Step 2: Convert to fraction form
    10,724.88/16,074.88 = 6,346/x
  3. Step 3: Cross multiply
    10,724.88x = 16,074.88 × 6,346
  4. Step 4: Simplify right side
    10,724.88x = 102,011,188.48
  5. Step 5: Solve for x
    x = 102,011,188.48/10,724.88
  6. Step 6: Final answer
    x = 9,511.64

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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.