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Finding the Fourth Proportional to 11,466.48, 15,827.76 and 7,682.16

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Solution

The fourth proportional to 11,466.48, 15,827.76 and 7,682.16 is: 10,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.48 : 15,827.76 = 7,682.16 : x
  2. Step 2: Convert to fraction form
    11,466.48/15,827.76 = 7,682.16/x
  3. Step 3: Cross multiply
    11,466.48x = 15,827.76 × 7,682.16
  4. Step 4: Simplify right side
    11,466.48x = 121,591,384.76
  5. Step 5: Solve for x
    x = 121,591,384.76/11,466.48
  6. Step 6: Final answer
    x = 10,604.07

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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.