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Finding the Fourth Proportional to 7,584.99, 10,471.64 and 5,071.37

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Solution

The fourth proportional to 7,584.99, 10,471.64 and 5,071.37 is: 7,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.99 : 10,471.64 = 5,071.37 : x
  2. Step 2: Convert to fraction form
    7,584.99/10,471.64 = 5,071.37/x
  3. Step 3: Cross multiply
    7,584.99x = 10,471.64 × 5,071.37
  4. Step 4: Simplify right side
    7,584.99x = 53,105,483.23
  5. Step 5: Solve for x
    x = 53,105,483.23/7,584.99
  6. Step 6: Final answer
    x = 7,001.39

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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.