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Finding the Fourth Proportional to 10,807.97, 14,912.72 and 6,561.25

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Solution

The fourth proportional to 10,807.97, 14,912.72 and 6,561.25 is: 9,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.97 : 14,912.72 = 6,561.25 : x
  2. Step 2: Convert to fraction form
    10,807.97/14,912.72 = 6,561.25/x
  3. Step 3: Cross multiply
    10,807.97x = 14,912.72 × 6,561.25
  4. Step 4: Simplify right side
    10,807.97x = 97,846,038.62
  5. Step 5: Solve for x
    x = 97,846,038.62/10,807.97
  6. Step 6: Final answer
    x = 9,053.14

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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.