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Finding the Fourth Proportional to 10,212.50, 15,319.02 and 4,056.50

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Solution

The fourth proportional to 10,212.50, 15,319.02 and 4,056.50 is: 6,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.50 : 15,319.02 = 4,056.50 : x
  2. Step 2: Convert to fraction form
    10,212.50/15,319.02 = 4,056.50/x
  3. Step 3: Cross multiply
    10,212.50x = 15,319.02 × 4,056.50
  4. Step 4: Simplify right side
    10,212.50x = 62,141,604.63
  5. Step 5: Solve for x
    x = 62,141,604.63/10,212.50
  6. Step 6: Final answer
    x = 6,084.86

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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.