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Finding the Fourth Proportional to 27,262.53, 40,886.24 and 7,539.57

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Solution

The fourth proportional to 27,262.53, 40,886.24 and 7,539.57 is: 11,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,262.53 : 40,886.24 = 7,539.57 : x
  2. Step 2: Convert to fraction form
    27,262.53/40,886.24 = 7,539.57/x
  3. Step 3: Cross multiply
    27,262.53x = 40,886.24 × 7,539.57
  4. Step 4: Simplify right side
    27,262.53x = 308,264,630.82
  5. Step 5: Solve for x
    x = 308,264,630.82/27,262.53
  6. Step 6: Final answer
    x = 11,307.26

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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.