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Finding the Fourth Proportional to 11,963.79, 16,507.35 and 7,430.16

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Solution

The fourth proportional to 11,963.79, 16,507.35 and 7,430.16 is: 10,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.79 : 16,507.35 = 7,430.16 : x
  2. Step 2: Convert to fraction form
    11,963.79/16,507.35 = 7,430.16/x
  3. Step 3: Cross multiply
    11,963.79x = 16,507.35 × 7,430.16
  4. Step 4: Simplify right side
    11,963.79x = 122,652,251.68
  5. Step 5: Solve for x
    x = 122,652,251.68/11,963.79
  6. Step 6: Final answer
    x = 10,251.96

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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.