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Finding the Fourth Proportional to 8,835.96, 12,193.60 and 4,857

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Solution

The fourth proportional to 8,835.96, 12,193.60 and 4,857 is: 6,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,835.96 : 12,193.60 = 4,857 : x
  2. Step 2: Convert to fraction form
    8,835.96/12,193.60 = 4,857/x
  3. Step 3: Cross multiply
    8,835.96x = 12,193.60 × 4,857
  4. Step 4: Simplify right side
    8,835.96x = 59,224,315.20
  5. Step 5: Solve for x
    x = 59,224,315.20/8,835.96
  6. Step 6: Final answer
    x = 6,702.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.