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Finding the Fourth Proportional to 7,288.01, 10,931.09 and 2,023.41

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Solution

The fourth proportional to 7,288.01, 10,931.09 and 2,023.41 is: 3,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.01 : 10,931.09 = 2,023.41 : x
  2. Step 2: Convert to fraction form
    7,288.01/10,931.09 = 2,023.41/x
  3. Step 3: Cross multiply
    7,288.01x = 10,931.09 × 2,023.41
  4. Step 4: Simplify right side
    7,288.01x = 22,118,066.70
  5. Step 5: Solve for x
    x = 22,118,066.70/7,288.01
  6. Step 6: Final answer
    x = 3,034.86

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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.