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Finding the Fourth Proportional to 7,538.64, 11,309.12 and 2,343.28

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Solution

The fourth proportional to 7,538.64, 11,309.12 and 2,343.28 is: 3,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.64 : 11,309.12 = 2,343.28 : x
  2. Step 2: Convert to fraction form
    7,538.64/11,309.12 = 2,343.28/x
  3. Step 3: Cross multiply
    7,538.64x = 11,309.12 × 2,343.28
  4. Step 4: Simplify right side
    7,538.64x = 26,500,434.71
  5. Step 5: Solve for x
    x = 26,500,434.71/7,538.64
  6. Step 6: Final answer
    x = 3,515.28

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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.