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Finding the Fourth Proportional to 10,546.16, 14,571.32 and 8,325.14

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Solution

The fourth proportional to 10,546.16, 14,571.32 and 8,325.14 is: 11,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.16 : 14,571.32 = 8,325.14 : x
  2. Step 2: Convert to fraction form
    10,546.16/14,571.32 = 8,325.14/x
  3. Step 3: Cross multiply
    10,546.16x = 14,571.32 × 8,325.14
  4. Step 4: Simplify right side
    10,546.16x = 121,308,164.50
  5. Step 5: Solve for x
    x = 121,308,164.50/10,546.16
  6. Step 6: Final answer
    x = 11,502.60

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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.