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Finding the Fourth Proportional to 11,625.84, 16,045.24 and 7,149.76

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Solution

The fourth proportional to 11,625.84, 16,045.24 and 7,149.76 is: 9,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.84 : 16,045.24 = 7,149.76 : x
  2. Step 2: Convert to fraction form
    11,625.84/16,045.24 = 7,149.76/x
  3. Step 3: Cross multiply
    11,625.84x = 16,045.24 × 7,149.76
  4. Step 4: Simplify right side
    11,625.84x = 114,719,615.14
  5. Step 5: Solve for x
    x = 114,719,615.14/11,625.84
  6. Step 6: Final answer
    x = 9,867.64

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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.