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Finding the Fourth Proportional to 10,359.10, 14,260.53 and 9,361.24

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Solution

The fourth proportional to 10,359.10, 14,260.53 and 9,361.24 is: 12,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.10 : 14,260.53 = 9,361.24 : x
  2. Step 2: Convert to fraction form
    10,359.10/14,260.53 = 9,361.24/x
  3. Step 3: Cross multiply
    10,359.10x = 14,260.53 × 9,361.24
  4. Step 4: Simplify right side
    10,359.10x = 133,496,243.86
  5. Step 5: Solve for x
    x = 133,496,243.86/10,359.10
  6. Step 6: Final answer
    x = 12,886.86

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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.