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Finding the Fourth Proportional to 10,594.32, 14,626.89 and 6,818.91

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Solution

The fourth proportional to 10,594.32, 14,626.89 and 6,818.91 is: 9,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.32 : 14,626.89 = 6,818.91 : x
  2. Step 2: Convert to fraction form
    10,594.32/14,626.89 = 6,818.91/x
  3. Step 3: Cross multiply
    10,594.32x = 14,626.89 × 6,818.91
  4. Step 4: Simplify right side
    10,594.32x = 99,739,446.49
  5. Step 5: Solve for x
    x = 99,739,446.49/10,594.32
  6. Step 6: Final answer
    x = 9,414.43

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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.