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Finding the Fourth Proportional to 7,504.35, 11,256.50 and 1,957.67

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Solution

The fourth proportional to 7,504.35, 11,256.50 and 1,957.67 is: 2,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.35 : 11,256.50 = 1,957.67 : x
  2. Step 2: Convert to fraction form
    7,504.35/11,256.50 = 1,957.67/x
  3. Step 3: Cross multiply
    7,504.35x = 11,256.50 × 1,957.67
  4. Step 4: Simplify right side
    7,504.35x = 22,036,503.18
  5. Step 5: Solve for x
    x = 22,036,503.18/7,504.35
  6. Step 6: Final answer
    x = 2,936.50

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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.