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Finding the Fourth Proportional to 7,668.08, 11,502.88 and 3,050

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Solution

The fourth proportional to 7,668.08, 11,502.88 and 3,050 is: 4,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.08 : 11,502.88 = 3,050 : x
  2. Step 2: Convert to fraction form
    7,668.08/11,502.88 = 3,050/x
  3. Step 3: Cross multiply
    7,668.08x = 11,502.88 × 3,050
  4. Step 4: Simplify right side
    7,668.08x = 35,083,784
  5. Step 5: Solve for x
    x = 35,083,784/7,668.08
  6. Step 6: Final answer
    x = 4,575.30

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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.