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Finding the Fourth Proportional to 10,500.54, 14,490.48 and 5,964.06

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Solution

The fourth proportional to 10,500.54, 14,490.48 and 5,964.06 is: 8,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.54 : 14,490.48 = 5,964.06 : x
  2. Step 2: Convert to fraction form
    10,500.54/14,490.48 = 5,964.06/x
  3. Step 3: Cross multiply
    10,500.54x = 14,490.48 × 5,964.06
  4. Step 4: Simplify right side
    10,500.54x = 86,422,135.31
  5. Step 5: Solve for x
    x = 86,422,135.31/10,500.54
  6. Step 6: Final answer
    x = 8,230.26

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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.