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Finding the Fourth Proportional to 7,288.48, 10,933.06 and 2,358.50

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Solution

The fourth proportional to 7,288.48, 10,933.06 and 2,358.50 is: 3,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.48 : 10,933.06 = 2,358.50 : x
  2. Step 2: Convert to fraction form
    7,288.48/10,933.06 = 2,358.50/x
  3. Step 3: Cross multiply
    7,288.48x = 10,933.06 × 2,358.50
  4. Step 4: Simplify right side
    7,288.48x = 25,785,610.22
  5. Step 5: Solve for x
    x = 25,785,610.22/7,288.48
  6. Step 6: Final answer
    x = 3,537.86

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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.