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Finding the Fourth Proportional to 10,732.88, 14,810.57 and 6,016.25

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Solution

The fourth proportional to 10,732.88, 14,810.57 and 6,016.25 is: 8,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.88 : 14,810.57 = 6,016.25 : x
  2. Step 2: Convert to fraction form
    10,732.88/14,810.57 = 6,016.25/x
  3. Step 3: Cross multiply
    10,732.88x = 14,810.57 × 6,016.25
  4. Step 4: Simplify right side
    10,732.88x = 89,104,091.76
  5. Step 5: Solve for x
    x = 89,104,091.76/10,732.88
  6. Step 6: Final answer
    x = 8,301.97

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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.