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Finding the Fourth Proportional to 8,341.14, 11,509.50 and 5,357.37

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Solution

The fourth proportional to 8,341.14, 11,509.50 and 5,357.37 is: 7,392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.14 : 11,509.50 = 5,357.37 : x
  2. Step 2: Convert to fraction form
    8,341.14/11,509.50 = 5,357.37/x
  3. Step 3: Cross multiply
    8,341.14x = 11,509.50 × 5,357.37
  4. Step 4: Simplify right side
    8,341.14x = 61,660,650.02
  5. Step 5: Solve for x
    x = 61,660,650.02/8,341.14
  6. Step 6: Final answer
    x = 7,392.35

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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.