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Finding the Fourth Proportional to 10,354.54, 14,290.24 and 6,377.98

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Solution

The fourth proportional to 10,354.54, 14,290.24 and 6,377.98 is: 8,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.54 : 14,290.24 = 6,377.98 : x
  2. Step 2: Convert to fraction form
    10,354.54/14,290.24 = 6,377.98/x
  3. Step 3: Cross multiply
    10,354.54x = 14,290.24 × 6,377.98
  4. Step 4: Simplify right side
    10,354.54x = 91,142,864.92
  5. Step 5: Solve for x
    x = 91,142,864.92/10,354.54
  6. Step 6: Final answer
    x = 8,802.21

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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.