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Finding the Fourth Proportional to 11,546.64, 15,934.31 and 6,510.64

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Solution

The fourth proportional to 11,546.64, 15,934.31 and 6,510.64 is: 8,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.64 : 15,934.31 = 6,510.64 : x
  2. Step 2: Convert to fraction form
    11,546.64/15,934.31 = 6,510.64/x
  3. Step 3: Cross multiply
    11,546.64x = 15,934.31 × 6,510.64
  4. Step 4: Simplify right side
    11,546.64x = 103,742,556.06
  5. Step 5: Solve for x
    x = 103,742,556.06/11,546.64
  6. Step 6: Final answer
    x = 8,984.65

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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.