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Finding the Fourth Proportional to 11,310.12, 15,614.28 and 7,538.40

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Solution

The fourth proportional to 11,310.12, 15,614.28 and 7,538.40 is: 10,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.12 : 15,614.28 = 7,538.40 : x
  2. Step 2: Convert to fraction form
    11,310.12/15,614.28 = 7,538.40/x
  3. Step 3: Cross multiply
    11,310.12x = 15,614.28 × 7,538.40
  4. Step 4: Simplify right side
    11,310.12x = 117,706,688.35
  5. Step 5: Solve for x
    x = 117,706,688.35/11,310.12
  6. Step 6: Final answer
    x = 10,407.20

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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.