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Finding the Fourth Proportional to 10,087.68, 15,123.02 and 4,819.71

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Solution

The fourth proportional to 10,087.68, 15,123.02 and 4,819.71 is: 7,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.68 : 15,123.02 = 4,819.71 : x
  2. Step 2: Convert to fraction form
    10,087.68/15,123.02 = 4,819.71/x
  3. Step 3: Cross multiply
    10,087.68x = 15,123.02 × 4,819.71
  4. Step 4: Simplify right side
    10,087.68x = 72,888,546.63
  5. Step 5: Solve for x
    x = 72,888,546.63/10,087.68
  6. Step 6: Final answer
    x = 7,225.50

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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.