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Finding the Fourth Proportional to 18,282.64, 27,428.82 and 5,803

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Solution

The fourth proportional to 18,282.64, 27,428.82 and 5,803 is: 8,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282.64 : 27,428.82 = 5,803 : x
  2. Step 2: Convert to fraction form
    18,282.64/27,428.82 = 5,803/x
  3. Step 3: Cross multiply
    18,282.64x = 27,428.82 × 5,803
  4. Step 4: Simplify right side
    18,282.64x = 159,169,442.46
  5. Step 5: Solve for x
    x = 159,169,442.46/18,282.64
  6. Step 6: Final answer
    x = 8,706.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.