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Finding the Fourth Proportional to 11,840.40, 16,344 and 7,594.56

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Solution

The fourth proportional to 11,840.40, 16,344 and 7,594.56 is: 10,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.40 : 16,344 = 7,594.56 : x
  2. Step 2: Convert to fraction form
    11,840.40/16,344 = 7,594.56/x
  3. Step 3: Cross multiply
    11,840.40x = 16,344 × 7,594.56
  4. Step 4: Simplify right side
    11,840.40x = 124,125,488.64
  5. Step 5: Solve for x
    x = 124,125,488.64/11,840.40
  6. Step 6: Final answer
    x = 10,483.22

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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.