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Finding the Fourth Proportional to 10,212.70, 15,318.54 and 4,288.06

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Solution

The fourth proportional to 10,212.70, 15,318.54 and 4,288.06 is: 6,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.70 : 15,318.54 = 4,288.06 : x
  2. Step 2: Convert to fraction form
    10,212.70/15,318.54 = 4,288.06/x
  3. Step 3: Cross multiply
    10,212.70x = 15,318.54 × 4,288.06
  4. Step 4: Simplify right side
    10,212.70x = 65,686,818.63
  5. Step 5: Solve for x
    x = 65,686,818.63/10,212.70
  6. Step 6: Final answer
    x = 6,431.88

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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.