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Finding the Fourth Proportional to 7,897.62, 11,848.26 and 2,703.50

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Solution

The fourth proportional to 7,897.62, 11,848.26 and 2,703.50 is: 4,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.62 : 11,848.26 = 2,703.50 : x
  2. Step 2: Convert to fraction form
    7,897.62/11,848.26 = 2,703.50/x
  3. Step 3: Cross multiply
    7,897.62x = 11,848.26 × 2,703.50
  4. Step 4: Simplify right side
    7,897.62x = 32,031,770.91
  5. Step 5: Solve for x
    x = 32,031,770.91/7,897.62
  6. Step 6: Final answer
    x = 4,055.88

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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.