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Finding the Fourth Proportional to 7,747.50, 11,615.28 and 3,848.88

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Solution

The fourth proportional to 7,747.50, 11,615.28 and 3,848.88 is: 5,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.50 : 11,615.28 = 3,848.88 : x
  2. Step 2: Convert to fraction form
    7,747.50/11,615.28 = 3,848.88/x
  3. Step 3: Cross multiply
    7,747.50x = 11,615.28 × 3,848.88
  4. Step 4: Simplify right side
    7,747.50x = 44,705,818.89
  5. Step 5: Solve for x
    x = 44,705,818.89/7,747.50
  6. Step 6: Final answer
    x = 5,770.35

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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.