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Finding the Fourth Proportional to 10,713.42, 16,042.18 and 8,622.00

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Solution

The fourth proportional to 10,713.42, 16,042.18 and 8,622.00 is: 12,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.42 : 16,042.18 = 8,622.00 : x
  2. Step 2: Convert to fraction form
    10,713.42/16,042.18 = 8,622.00/x
  3. Step 3: Cross multiply
    10,713.42x = 16,042.18 × 8,622.00
  4. Step 4: Simplify right side
    10,713.42x = 138,315,574.19
  5. Step 5: Solve for x
    x = 138,315,574.19/10,713.42
  6. Step 6: Final answer
    x = 12,910.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.