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Finding the Fourth Proportional to 27,264.87, 40,897.35 and 7,543.49

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Solution

The fourth proportional to 27,264.87, 40,897.35 and 7,543.49 is: 11,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,264.87 : 40,897.35 = 7,543.49 : x
  2. Step 2: Convert to fraction form
    27,264.87/40,897.35 = 7,543.49/x
  3. Step 3: Cross multiply
    27,264.87x = 40,897.35 × 7,543.49
  4. Step 4: Simplify right side
    27,264.87x = 308,508,546.26
  5. Step 5: Solve for x
    x = 308,508,546.26/27,264.87
  6. Step 6: Final answer
    x = 11,315.24

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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.