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Finding the Fourth Proportional to 11,546.54, 15,925.16 and 8,360.31

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Solution

The fourth proportional to 11,546.54, 15,925.16 and 8,360.31 is: 11,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.54 : 15,925.16 = 8,360.31 : x
  2. Step 2: Convert to fraction form
    11,546.54/15,925.16 = 8,360.31/x
  3. Step 3: Cross multiply
    11,546.54x = 15,925.16 × 8,360.31
  4. Step 4: Simplify right side
    11,546.54x = 133,139,232.60
  5. Step 5: Solve for x
    x = 133,139,232.60/11,546.54
  6. Step 6: Final answer
    x = 11,530.67

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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.