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Finding the Fourth Proportional to 10,262.35, 15,394.35 and 3,242.84

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Solution

The fourth proportional to 10,262.35, 15,394.35 and 3,242.84 is: 4,864.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.35 : 15,394.35 = 3,242.84 : x
  2. Step 2: Convert to fraction form
    10,262.35/15,394.35 = 3,242.84/x
  3. Step 3: Cross multiply
    10,262.35x = 15,394.35 × 3,242.84
  4. Step 4: Simplify right side
    10,262.35x = 49,921,349.14
  5. Step 5: Solve for x
    x = 49,921,349.14/10,262.35
  6. Step 6: Final answer
    x = 4,864.52

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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.