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Finding the Fourth Proportional to 10,272.24, 15,404.72 and 4,032

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Solution

The fourth proportional to 10,272.24, 15,404.72 and 4,032 is: 6,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.24 : 15,404.72 = 4,032 : x
  2. Step 2: Convert to fraction form
    10,272.24/15,404.72 = 4,032/x
  3. Step 3: Cross multiply
    10,272.24x = 15,404.72 × 4,032
  4. Step 4: Simplify right side
    10,272.24x = 62,111,810.88
  5. Step 5: Solve for x
    x = 62,111,810.88/10,272.24
  6. Step 6: Final answer
    x = 6,046.57

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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.