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Finding the Fourth Proportional to 11,430.64, 17,146.16 and 4,034.96

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Solution

The fourth proportional to 11,430.64, 17,146.16 and 4,034.96 is: 6,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.64 : 17,146.16 = 4,034.96 : x
  2. Step 2: Convert to fraction form
    11,430.64/17,146.16 = 4,034.96/x
  3. Step 3: Cross multiply
    11,430.64x = 17,146.16 × 4,034.96
  4. Step 4: Simplify right side
    11,430.64x = 69,184,069.75
  5. Step 5: Solve for x
    x = 69,184,069.75/11,430.64
  6. Step 6: Final answer
    x = 6,052.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.