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Finding the Fourth Proportional to 10,202.96, 15,312.66 and 5,274

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Solution

The fourth proportional to 10,202.96, 15,312.66 and 5,274 is: 7,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.96 : 15,312.66 = 5,274 : x
  2. Step 2: Convert to fraction form
    10,202.96/15,312.66 = 5,274/x
  3. Step 3: Cross multiply
    10,202.96x = 15,312.66 × 5,274
  4. Step 4: Simplify right side
    10,202.96x = 80,758,968.84
  5. Step 5: Solve for x
    x = 80,758,968.84/10,202.96
  6. Step 6: Final answer
    x = 7,915.25

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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.