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Finding the Fourth Proportional to 10,107.32, 13,953.08 and 7,833.63

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Solution

The fourth proportional to 10,107.32, 13,953.08 and 7,833.63 is: 10,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.32 : 13,953.08 = 7,833.63 : x
  2. Step 2: Convert to fraction form
    10,107.32/13,953.08 = 7,833.63/x
  3. Step 3: Cross multiply
    10,107.32x = 13,953.08 × 7,833.63
  4. Step 4: Simplify right side
    10,107.32x = 109,303,226.91
  5. Step 5: Solve for x
    x = 109,303,226.91/10,107.32
  6. Step 6: Final answer
    x = 10,814.27

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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.