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Finding the Fourth Proportional to 8,026.47, 11,089.94 and 7,134.35

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Solution

The fourth proportional to 8,026.47, 11,089.94 and 7,134.35 is: 9,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.47 : 11,089.94 = 7,134.35 : x
  2. Step 2: Convert to fraction form
    8,026.47/11,089.94 = 7,134.35/x
  3. Step 3: Cross multiply
    8,026.47x = 11,089.94 × 7,134.35
  4. Step 4: Simplify right side
    8,026.47x = 79,119,513.44
  5. Step 5: Solve for x
    x = 79,119,513.44/8,026.47
  6. Step 6: Final answer
    x = 9,857.32

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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.