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Finding the Fourth Proportional to 7,897.24, 11,853.03 and 4,202.58

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Solution

The fourth proportional to 7,897.24, 11,853.03 and 4,202.58 is: 6,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.24 : 11,853.03 = 4,202.58 : x
  2. Step 2: Convert to fraction form
    7,897.24/11,853.03 = 4,202.58/x
  3. Step 3: Cross multiply
    7,897.24x = 11,853.03 × 4,202.58
  4. Step 4: Simplify right side
    7,897.24x = 49,813,285.80
  5. Step 5: Solve for x
    x = 49,813,285.80/7,897.24
  6. Step 6: Final answer
    x = 6,307.68

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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.