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Finding the Fourth Proportional to 10,522.50, 15,783.78 and 2,731.38

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Solution

The fourth proportional to 10,522.50, 15,783.78 and 2,731.38 is: 4,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.50 : 15,783.78 = 2,731.38 : x
  2. Step 2: Convert to fraction form
    10,522.50/15,783.78 = 2,731.38/x
  3. Step 3: Cross multiply
    10,522.50x = 15,783.78 × 2,731.38
  4. Step 4: Simplify right side
    10,522.50x = 43,111,501.02
  5. Step 5: Solve for x
    x = 43,111,501.02/10,522.50
  6. Step 6: Final answer
    x = 4,097.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.