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Finding the Fourth Proportional to 10,383.84, 15,575.76 and 3,458.88

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Solution

The fourth proportional to 10,383.84, 15,575.76 and 3,458.88 is: 5,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.84 : 15,575.76 = 3,458.88 : x
  2. Step 2: Convert to fraction form
    10,383.84/15,575.76 = 3,458.88/x
  3. Step 3: Cross multiply
    10,383.84x = 15,575.76 × 3,458.88
  4. Step 4: Simplify right side
    10,383.84x = 53,874,684.75
  5. Step 5: Solve for x
    x = 53,874,684.75/10,383.84
  6. Step 6: Final answer
    x = 5,188.32

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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.