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Finding the Fourth Proportional to 10,212.71, 15,303.47 and 4,286.39

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Solution

The fourth proportional to 10,212.71, 15,303.47 and 4,286.39 is: 6,423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.71 : 15,303.47 = 4,286.39 : x
  2. Step 2: Convert to fraction form
    10,212.71/15,303.47 = 4,286.39/x
  3. Step 3: Cross multiply
    10,212.71x = 15,303.47 × 4,286.39
  4. Step 4: Simplify right side
    10,212.71x = 65,596,542.82
  5. Step 5: Solve for x
    x = 65,596,542.82/10,212.71
  6. Step 6: Final answer
    x = 6,423.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.