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Finding the Fourth Proportional to 10,857.12, 14,982 and 6,383.76

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Solution

The fourth proportional to 10,857.12, 14,982 and 6,383.76 is: 8,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.12 : 14,982 = 6,383.76 : x
  2. Step 2: Convert to fraction form
    10,857.12/14,982 = 6,383.76/x
  3. Step 3: Cross multiply
    10,857.12x = 14,982 × 6,383.76
  4. Step 4: Simplify right side
    10,857.12x = 95,641,492.32
  5. Step 5: Solve for x
    x = 95,641,492.32/10,857.12
  6. Step 6: Final answer
    x = 8,809.10

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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.