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Finding the Fourth Proportional to 10,119.72, 13,966.99 and 7,725.77

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Solution

The fourth proportional to 10,119.72, 13,966.99 and 7,725.77 is: 10,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.72 : 13,966.99 = 7,725.77 : x
  2. Step 2: Convert to fraction form
    10,119.72/13,966.99 = 7,725.77/x
  3. Step 3: Cross multiply
    10,119.72x = 13,966.99 × 7,725.77
  4. Step 4: Simplify right side
    10,119.72x = 107,905,752.33
  5. Step 5: Solve for x
    x = 107,905,752.33/10,119.72
  6. Step 6: Final answer
    x = 10,662.92

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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.