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Finding the Fourth Proportional to 11,546.87, 15,929.70 and 7,295

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Solution

The fourth proportional to 11,546.87, 15,929.70 and 7,295 is: 10,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.87 : 15,929.70 = 7,295 : x
  2. Step 2: Convert to fraction form
    11,546.87/15,929.70 = 7,295/x
  3. Step 3: Cross multiply
    11,546.87x = 15,929.70 × 7,295
  4. Step 4: Simplify right side
    11,546.87x = 116,207,161.50
  5. Step 5: Solve for x
    x = 116,207,161.50/11,546.87
  6. Step 6: Final answer
    x = 10,063.95

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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.