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Finding the Fourth Proportional to 11,546.44, 15,923.46 and 7,566.10

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Solution

The fourth proportional to 11,546.44, 15,923.46 and 7,566.10 is: 10,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.44 : 15,923.46 = 7,566.10 : x
  2. Step 2: Convert to fraction form
    11,546.44/15,923.46 = 7,566.10/x
  3. Step 3: Cross multiply
    11,546.44x = 15,923.46 × 7,566.10
  4. Step 4: Simplify right side
    11,546.44x = 120,478,490.71
  5. Step 5: Solve for x
    x = 120,478,490.71/11,546.44
  6. Step 6: Final answer
    x = 10,434.25

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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.