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Finding the Fourth Proportional to 27,264.94, 40,897.36 and 7,543.44

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Solution

The fourth proportional to 27,264.94, 40,897.36 and 7,543.44 is: 11,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,264.94 : 40,897.36 = 7,543.44 : x
  2. Step 2: Convert to fraction form
    27,264.94/40,897.36 = 7,543.44/x
  3. Step 3: Cross multiply
    27,264.94x = 40,897.36 × 7,543.44
  4. Step 4: Simplify right side
    27,264.94x = 308,506,805.83
  5. Step 5: Solve for x
    x = 308,506,805.83/27,264.94
  6. Step 6: Final answer
    x = 11,315.15

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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.