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Finding the Fourth Proportional to 8,004.16, 11,051.04 and 5,214.40

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Solution

The fourth proportional to 8,004.16, 11,051.04 and 5,214.40 is: 7,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.16 : 11,051.04 = 5,214.40 : x
  2. Step 2: Convert to fraction form
    8,004.16/11,051.04 = 5,214.40/x
  3. Step 3: Cross multiply
    8,004.16x = 11,051.04 × 5,214.40
  4. Step 4: Simplify right side
    8,004.16x = 57,624,542.98
  5. Step 5: Solve for x
    x = 57,624,542.98/8,004.16
  6. Step 6: Final answer
    x = 7,199.32

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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.