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Finding the Fourth Proportional to 8,167.90, 11,410.40 and 8,167.90

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Solution

The fourth proportional to 8,167.90, 11,410.40 and 8,167.90 is: 11,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.90 : 11,410.40 = 8,167.90 : x
  2. Step 2: Convert to fraction form
    8,167.90/11,410.40 = 8,167.90/x
  3. Step 3: Cross multiply
    8,167.90x = 11,410.40 × 8,167.90
  4. Step 4: Simplify right side
    8,167.90x = 93,199,006.16
  5. Step 5: Solve for x
    x = 93,199,006.16/8,167.90
  6. Step 6: Final answer
    x = 11,410.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.