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Finding the Fourth Proportional to 8,835.64, 12,193.16 and 4,857

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Solution

The fourth proportional to 8,835.64, 12,193.16 and 4,857 is: 6,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,835.64 : 12,193.16 = 4,857 : x
  2. Step 2: Convert to fraction form
    8,835.64/12,193.16 = 4,857/x
  3. Step 3: Cross multiply
    8,835.64x = 12,193.16 × 4,857
  4. Step 4: Simplify right side
    8,835.64x = 59,222,178.12
  5. Step 5: Solve for x
    x = 59,222,178.12/8,835.64
  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.