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Finding the Fourth Proportional to 10,204.16, 15,308.04 and 3,541.52

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Solution

The fourth proportional to 10,204.16, 15,308.04 and 3,541.52 is: 5,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.16 : 15,308.04 = 3,541.52 : x
  2. Step 2: Convert to fraction form
    10,204.16/15,308.04 = 3,541.52/x
  3. Step 3: Cross multiply
    10,204.16x = 15,308.04 × 3,541.52
  4. Step 4: Simplify right side
    10,204.16x = 54,213,729.82
  5. Step 5: Solve for x
    x = 54,213,729.82/10,204.16
  6. Step 6: Final answer
    x = 5,312.90

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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.