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Finding the Fourth Proportional to 10,958.45, 15,123.42 and 6,242.72

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Solution

The fourth proportional to 10,958.45, 15,123.42 and 6,242.72 is: 8,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.45 : 15,123.42 = 6,242.72 : x
  2. Step 2: Convert to fraction form
    10,958.45/15,123.42 = 6,242.72/x
  3. Step 3: Cross multiply
    10,958.45x = 15,123.42 × 6,242.72
  4. Step 4: Simplify right side
    10,958.45x = 94,411,314.31
  5. Step 5: Solve for x
    x = 94,411,314.31/10,958.45
  6. Step 6: Final answer
    x = 8,615.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.