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Finding the Fourth Proportional to 10,102.77, 15,154.93 and 3,082.84

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Solution

The fourth proportional to 10,102.77, 15,154.93 and 3,082.84 is: 4,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.77 : 15,154.93 = 3,082.84 : x
  2. Step 2: Convert to fraction form
    10,102.77/15,154.93 = 3,082.84/x
  3. Step 3: Cross multiply
    10,102.77x = 15,154.93 × 3,082.84
  4. Step 4: Simplify right side
    10,102.77x = 46,720,194.27
  5. Step 5: Solve for x
    x = 46,720,194.27/10,102.77
  6. Step 6: Final answer
    x = 4,624.50

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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.