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Finding the Fourth Proportional to 11,812.25, 16,300.14 and 6,507.03

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Solution

The fourth proportional to 11,812.25, 16,300.14 and 6,507.03 is: 8,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.25 : 16,300.14 = 6,507.03 : x
  2. Step 2: Convert to fraction form
    11,812.25/16,300.14 = 6,507.03/x
  3. Step 3: Cross multiply
    11,812.25x = 16,300.14 × 6,507.03
  4. Step 4: Simplify right side
    11,812.25x = 106,065,499.98
  5. Step 5: Solve for x
    x = 106,065,499.98/11,812.25
  6. Step 6: Final answer
    x = 8,979.28

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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.