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Finding the Fourth Proportional to 8,048.20, 11,098.74 and 5,253.16

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Solution

The fourth proportional to 8,048.20, 11,098.74 and 5,253.16 is: 7,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.20 : 11,098.74 = 5,253.16 : x
  2. Step 2: Convert to fraction form
    8,048.20/11,098.74 = 5,253.16/x
  3. Step 3: Cross multiply
    8,048.20x = 11,098.74 × 5,253.16
  4. Step 4: Simplify right side
    8,048.20x = 58,303,457.02
  5. Step 5: Solve for x
    x = 58,303,457.02/8,048.20
  6. Step 6: Final answer
    x = 7,244.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.