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Finding the Fourth Proportional to 10,262.53, 15,394.45 and 4,338.32

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Solution

The fourth proportional to 10,262.53, 15,394.45 and 4,338.32 is: 6,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.53 : 15,394.45 = 4,338.32 : x
  2. Step 2: Convert to fraction form
    10,262.53/15,394.45 = 4,338.32/x
  3. Step 3: Cross multiply
    10,262.53x = 15,394.45 × 4,338.32
  4. Step 4: Simplify right side
    10,262.53x = 66,786,001.44
  5. Step 5: Solve for x
    x = 66,786,001.44/10,262.53
  6. Step 6: Final answer
    x = 6,507.75

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