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Finding the Fourth Proportional to 8,075.92, 11,138.28 and 5,421.52

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Solution

The fourth proportional to 8,075.92, 11,138.28 and 5,421.52 is: 7,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.92 : 11,138.28 = 5,421.52 : x
  2. Step 2: Convert to fraction form
    8,075.92/11,138.28 = 5,421.52/x
  3. Step 3: Cross multiply
    8,075.92x = 11,138.28 × 5,421.52
  4. Step 4: Simplify right side
    8,075.92x = 60,386,407.79
  5. Step 5: Solve for x
    x = 60,386,407.79/8,075.92
  6. Step 6: Final answer
    x = 7,477.34

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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.