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Finding the Fourth Proportional to 10,494.78, 15,742.14 and 2,703.54

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Solution

The fourth proportional to 10,494.78, 15,742.14 and 2,703.54 is: 4,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.78 : 15,742.14 = 2,703.54 : x
  2. Step 2: Convert to fraction form
    10,494.78/15,742.14 = 2,703.54/x
  3. Step 3: Cross multiply
    10,494.78x = 15,742.14 × 2,703.54
  4. Step 4: Simplify right side
    10,494.78x = 42,559,505.18
  5. Step 5: Solve for x
    x = 42,559,505.18/10,494.78
  6. Step 6: Final answer
    x = 4,055.30

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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.