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Finding the Fourth Proportional to 10,244.10, 15,349.86 and 7,458

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Solution

The fourth proportional to 10,244.10, 15,349.86 and 7,458 is: 11,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.10 : 15,349.86 = 7,458 : x
  2. Step 2: Convert to fraction form
    10,244.10/15,349.86 = 7,458/x
  3. Step 3: Cross multiply
    10,244.10x = 15,349.86 × 7,458
  4. Step 4: Simplify right side
    10,244.10x = 114,479,255.88
  5. Step 5: Solve for x
    x = 114,479,255.88/10,244.10
  6. Step 6: Final answer
    x = 11,175.14

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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.