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Finding the Fourth Proportional to 10,857.41, 14,983.83 and 6,077.24

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Solution

The fourth proportional to 10,857.41, 14,983.83 and 6,077.24 is: 8,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.41 : 14,983.83 = 6,077.24 : x
  2. Step 2: Convert to fraction form
    10,857.41/14,983.83 = 6,077.24/x
  3. Step 3: Cross multiply
    10,857.41x = 14,983.83 × 6,077.24
  4. Step 4: Simplify right side
    10,857.41x = 91,060,256.11
  5. Step 5: Solve for x
    x = 91,060,256.11/10,857.41
  6. Step 6: Final answer
    x = 8,386.93

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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.