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Finding the Fourth Proportional to 10,326.47, 14,250.06 and 5,849.96

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Solution

The fourth proportional to 10,326.47, 14,250.06 and 5,849.96 is: 8,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.47 : 14,250.06 = 5,849.96 : x
  2. Step 2: Convert to fraction form
    10,326.47/14,250.06 = 5,849.96/x
  3. Step 3: Cross multiply
    10,326.47x = 14,250.06 × 5,849.96
  4. Step 4: Simplify right side
    10,326.47x = 83,362,209.75
  5. Step 5: Solve for x
    x = 83,362,209.75/10,326.47
  6. Step 6: Final answer
    x = 8,072.68

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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.