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Finding the Fourth Proportional to 11,549.17, 15,941.95 and 6,833.44

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Solution

The fourth proportional to 11,549.17, 15,941.95 and 6,833.44 is: 9,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.17 : 15,941.95 = 6,833.44 : x
  2. Step 2: Convert to fraction form
    11,549.17/15,941.95 = 6,833.44/x
  3. Step 3: Cross multiply
    11,549.17x = 15,941.95 × 6,833.44
  4. Step 4: Simplify right side
    11,549.17x = 108,938,301.87
  5. Step 5: Solve for x
    x = 108,938,301.87/11,549.17
  6. Step 6: Final answer
    x = 9,432.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.