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Finding the Fourth Proportional to 10,857.88, 14,980.44 and 6,380.20

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Solution

The fourth proportional to 10,857.88, 14,980.44 and 6,380.20 is: 8,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.88 : 14,980.44 = 6,380.20 : x
  2. Step 2: Convert to fraction form
    10,857.88/14,980.44 = 6,380.20/x
  3. Step 3: Cross multiply
    10,857.88x = 14,980.44 × 6,380.20
  4. Step 4: Simplify right side
    10,857.88x = 95,578,203.29
  5. Step 5: Solve for x
    x = 95,578,203.29/10,857.88
  6. Step 6: Final answer
    x = 8,802.66

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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.