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Finding the Fourth Proportional to 8,117.86, 12,118.04 and 7,133.70

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Solution

The fourth proportional to 8,117.86, 12,118.04 and 7,133.70 is: 10,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.86 : 12,118.04 = 7,133.70 : x
  2. Step 2: Convert to fraction form
    8,117.86/12,118.04 = 7,133.70/x
  3. Step 3: Cross multiply
    8,117.86x = 12,118.04 × 7,133.70
  4. Step 4: Simplify right side
    8,117.86x = 86,446,461.95
  5. Step 5: Solve for x
    x = 86,446,461.95/8,117.86
  6. Step 6: Final answer
    x = 10,648.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.