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Finding the Fourth Proportional to 11,748.75, 16,214.18 and 7,275.12

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Solution

The fourth proportional to 11,748.75, 16,214.18 and 7,275.12 is: 10,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.75 : 16,214.18 = 7,275.12 : x
  2. Step 2: Convert to fraction form
    11,748.75/16,214.18 = 7,275.12/x
  3. Step 3: Cross multiply
    11,748.75x = 16,214.18 × 7,275.12
  4. Step 4: Simplify right side
    11,748.75x = 117,960,008.02
  5. Step 5: Solve for x
    x = 117,960,008.02/11,748.75
  6. Step 6: Final answer
    x = 10,040.22

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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.