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Finding the Fourth Proportional to 10,594.49, 14,620.99 and 6,404.09

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Solution

The fourth proportional to 10,594.49, 14,620.99 and 6,404.09 is: 8,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.49 : 14,620.99 = 6,404.09 : x
  2. Step 2: Convert to fraction form
    10,594.49/14,620.99 = 6,404.09/x
  3. Step 3: Cross multiply
    10,594.49x = 14,620.99 × 6,404.09
  4. Step 4: Simplify right side
    10,594.49x = 93,634,046.73
  5. Step 5: Solve for x
    x = 93,634,046.73/10,594.49
  6. Step 6: Final answer
    x = 8,838.00

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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.