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Finding the Fourth Proportional to 10,071.80, 13,898.04 and 5,882.48

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Solution

The fourth proportional to 10,071.80, 13,898.04 and 5,882.48 is: 8,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.80 : 13,898.04 = 5,882.48 : x
  2. Step 2: Convert to fraction form
    10,071.80/13,898.04 = 5,882.48/x
  3. Step 3: Cross multiply
    10,071.80x = 13,898.04 × 5,882.48
  4. Step 4: Simplify right side
    10,071.80x = 81,754,942.34
  5. Step 5: Solve for x
    x = 81,754,942.34/10,071.80
  6. Step 6: Final answer
    x = 8,117.21

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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.