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Finding the Fourth Proportional to 10,294.45, 14,207.06 and 5,818.61

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Solution

The fourth proportional to 10,294.45, 14,207.06 and 5,818.61 is: 8,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.45 : 14,207.06 = 5,818.61 : x
  2. Step 2: Convert to fraction form
    10,294.45/14,207.06 = 5,818.61/x
  3. Step 3: Cross multiply
    10,294.45x = 14,207.06 × 5,818.61
  4. Step 4: Simplify right side
    10,294.45x = 82,665,341.39
  5. Step 5: Solve for x
    x = 82,665,341.39/10,294.45
  6. Step 6: Final answer
    x = 8,030.09

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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.