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Finding the Fourth Proportional to 10,238.01, 14,137.79 and 7,715.81

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Solution

The fourth proportional to 10,238.01, 14,137.79 and 7,715.81 is: 10,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.01 : 14,137.79 = 7,715.81 : x
  2. Step 2: Convert to fraction form
    10,238.01/14,137.79 = 7,715.81/x
  3. Step 3: Cross multiply
    10,238.01x = 14,137.79 × 7,715.81
  4. Step 4: Simplify right side
    10,238.01x = 109,084,392.19
  5. Step 5: Solve for x
    x = 109,084,392.19/10,238.01
  6. Step 6: Final answer
    x = 10,654.84

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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.