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Finding the Fourth Proportional to 7,957.64, 11,931.72 and 3,027.65

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Solution

The fourth proportional to 7,957.64, 11,931.72 and 3,027.65 is: 4,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.64 : 11,931.72 = 3,027.65 : x
  2. Step 2: Convert to fraction form
    7,957.64/11,931.72 = 3,027.65/x
  3. Step 3: Cross multiply
    7,957.64x = 11,931.72 × 3,027.65
  4. Step 4: Simplify right side
    7,957.64x = 36,125,072.06
  5. Step 5: Solve for x
    x = 36,125,072.06/7,957.64
  6. Step 6: Final answer
    x = 4,539.67

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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.