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Finding the Fourth Proportional to 10,667.14, 14,711.76 and 8,009.93

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Solution

The fourth proportional to 10,667.14, 14,711.76 and 8,009.93 is: 11,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.14 : 14,711.76 = 8,009.93 : x
  2. Step 2: Convert to fraction form
    10,667.14/14,711.76 = 8,009.93/x
  3. Step 3: Cross multiply
    10,667.14x = 14,711.76 × 8,009.93
  4. Step 4: Simplify right side
    10,667.14x = 117,840,204.56
  5. Step 5: Solve for x
    x = 117,840,204.56/10,667.14
  6. Step 6: Final answer
    x = 11,047.03

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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.