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Finding the Fourth Proportional to 10,803.38, 16,186.64 and 7,667.87

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Solution

The fourth proportional to 10,803.38, 16,186.64 and 7,667.87 is: 11,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.38 : 16,186.64 = 7,667.87 : x
  2. Step 2: Convert to fraction form
    10,803.38/16,186.64 = 7,667.87/x
  3. Step 3: Cross multiply
    10,803.38x = 16,186.64 × 7,667.87
  4. Step 4: Simplify right side
    10,803.38x = 124,116,931.98
  5. Step 5: Solve for x
    x = 124,116,931.98/10,803.38
  6. Step 6: Final answer
    x = 11,488.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.