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Finding the Fourth Proportional to 11,546.76, 15,934.16 and 7,300.11

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Solution

The fourth proportional to 11,546.76, 15,934.16 and 7,300.11 is: 10,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.76 : 15,934.16 = 7,300.11 : x
  2. Step 2: Convert to fraction form
    11,546.76/15,934.16 = 7,300.11/x
  3. Step 3: Cross multiply
    11,546.76x = 15,934.16 × 7,300.11
  4. Step 4: Simplify right side
    11,546.76x = 116,321,084.26
  5. Step 5: Solve for x
    x = 116,321,084.26/11,546.76
  6. Step 6: Final answer
    x = 10,073.92

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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.