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Finding the Fourth Proportional to 10,713.41, 16,042.42 and 7,391.90

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Solution

The fourth proportional to 10,713.41, 16,042.42 and 7,391.90 is: 11,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.41 : 16,042.42 = 7,391.90 : x
  2. Step 2: Convert to fraction form
    10,713.41/16,042.42 = 7,391.90/x
  3. Step 3: Cross multiply
    10,713.41x = 16,042.42 × 7,391.90
  4. Step 4: Simplify right side
    10,713.41x = 118,583,964.40
  5. Step 5: Solve for x
    x = 118,583,964.40/10,713.41
  6. Step 6: Final answer
    x = 11,068.74

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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.