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Finding the Fourth Proportional to 10,857.73, 14,983.53 and 6,382

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Solution

The fourth proportional to 10,857.73, 14,983.53 and 6,382 is: 8,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.73 : 14,983.53 = 6,382 : x
  2. Step 2: Convert to fraction form
    10,857.73/14,983.53 = 6,382/x
  3. Step 3: Cross multiply
    10,857.73x = 14,983.53 × 6,382
  4. Step 4: Simplify right side
    10,857.73x = 95,624,888.46
  5. Step 5: Solve for x
    x = 95,624,888.46/10,857.73
  6. Step 6: Final answer
    x = 8,807.08

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Why These Related Problems?

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