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Finding the Fourth Proportional to 10,490.34, 14,475.13 and 5,952.31

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Solution

The fourth proportional to 10,490.34, 14,475.13 and 5,952.31 is: 8,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.34 : 14,475.13 = 5,952.31 : x
  2. Step 2: Convert to fraction form
    10,490.34/14,475.13 = 5,952.31/x
  3. Step 3: Cross multiply
    10,490.34x = 14,475.13 × 5,952.31
  4. Step 4: Simplify right side
    10,490.34x = 86,160,467.43
  5. Step 5: Solve for x
    x = 86,160,467.43/10,490.34
  6. Step 6: Final answer
    x = 8,213.32

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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.