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Finding the Fourth Proportional to 11,865.59, 16,378.40 and 8,329.67

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Solution

The fourth proportional to 11,865.59, 16,378.40 and 8,329.67 is: 11,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.59 : 16,378.40 = 8,329.67 : x
  2. Step 2: Convert to fraction form
    11,865.59/16,378.40 = 8,329.67/x
  3. Step 3: Cross multiply
    11,865.59x = 16,378.40 × 8,329.67
  4. Step 4: Simplify right side
    11,865.59x = 136,426,667.13
  5. Step 5: Solve for x
    x = 136,426,667.13/11,865.59
  6. Step 6: Final answer
    x = 11,497.67

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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.