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Finding the Fourth Proportional to 8,894.28, 13,321.92 and 7,047.48

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Solution

The fourth proportional to 8,894.28, 13,321.92 and 7,047.48 is: 10,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.28 : 13,321.92 = 7,047.48 : x
  2. Step 2: Convert to fraction form
    8,894.28/13,321.92 = 7,047.48/x
  3. Step 3: Cross multiply
    8,894.28x = 13,321.92 × 7,047.48
  4. Step 4: Simplify right side
    8,894.28x = 93,885,964.76
  5. Step 5: Solve for x
    x = 93,885,964.76/8,894.28
  6. Step 6: Final answer
    x = 10,555.77

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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.