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Finding the Fourth Proportional to 7,897.72, 11,820.85 and 5,816.90

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Solution

The fourth proportional to 7,897.72, 11,820.85 and 5,816.90 is: 8,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.72 : 11,820.85 = 5,816.90 : x
  2. Step 2: Convert to fraction form
    7,897.72/11,820.85 = 5,816.90/x
  3. Step 3: Cross multiply
    7,897.72x = 11,820.85 × 5,816.90
  4. Step 4: Simplify right side
    7,897.72x = 68,760,702.37
  5. Step 5: Solve for x
    x = 68,760,702.37/7,897.72
  6. Step 6: Final answer
    x = 8,706.40

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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.