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Finding the Fourth Proportional to 10,316.89, 15,476.55 and 3,295

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Solution

The fourth proportional to 10,316.89, 15,476.55 and 3,295 is: 4,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.89 : 15,476.55 = 3,295 : x
  2. Step 2: Convert to fraction form
    10,316.89/15,476.55 = 3,295/x
  3. Step 3: Cross multiply
    10,316.89x = 15,476.55 × 3,295
  4. Step 4: Simplify right side
    10,316.89x = 50,995,232.25
  5. Step 5: Solve for x
    x = 50,995,232.25/10,316.89
  6. Step 6: Final answer
    x = 4,942.89

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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.