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Finding the Fourth Proportional to 11,812.70, 16,301.63 and 6,507.53

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Solution

The fourth proportional to 11,812.70, 16,301.63 and 6,507.53 is: 8,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.70 : 16,301.63 = 6,507.53 : x
  2. Step 2: Convert to fraction form
    11,812.70/16,301.63 = 6,507.53/x
  3. Step 3: Cross multiply
    11,812.70x = 16,301.63 × 6,507.53
  4. Step 4: Simplify right side
    11,812.70x = 106,083,346.27
  5. Step 5: Solve for x
    x = 106,083,346.27/11,812.70
  6. Step 6: Final answer
    x = 8,980.45

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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.