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Finding the Fourth Proportional to 11,568.38, 17,339.40 and 4,900.72

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Solution

The fourth proportional to 11,568.38, 17,339.40 and 4,900.72 is: 7,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.38 : 17,339.40 = 4,900.72 : x
  2. Step 2: Convert to fraction form
    11,568.38/17,339.40 = 4,900.72/x
  3. Step 3: Cross multiply
    11,568.38x = 17,339.40 × 4,900.72
  4. Step 4: Simplify right side
    11,568.38x = 84,975,544.37
  5. Step 5: Solve for x
    x = 84,975,544.37/11,568.38
  6. Step 6: Final answer
    x = 7,345.50

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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.