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Finding the Fourth Proportional to 10,294.34, 14,206.76 and 5,818.28

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Solution

The fourth proportional to 10,294.34, 14,206.76 and 5,818.28 is: 8,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.34 : 14,206.76 = 5,818.28 : x
  2. Step 2: Convert to fraction form
    10,294.34/14,206.76 = 5,818.28/x
  3. Step 3: Cross multiply
    10,294.34x = 14,206.76 × 5,818.28
  4. Step 4: Simplify right side
    10,294.34x = 82,658,907.57
  5. Step 5: Solve for x
    x = 82,658,907.57/10,294.34
  6. Step 6: Final answer
    x = 8,029.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.