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Finding the Fourth Proportional to 10,541.80, 14,541.78 and 6,291.64

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Solution

The fourth proportional to 10,541.80, 14,541.78 and 6,291.64 is: 8,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.80 : 14,541.78 = 6,291.64 : x
  2. Step 2: Convert to fraction form
    10,541.80/14,541.78 = 6,291.64/x
  3. Step 3: Cross multiply
    10,541.80x = 14,541.78 × 6,291.64
  4. Step 4: Simplify right side
    10,541.80x = 91,491,644.72
  5. Step 5: Solve for x
    x = 91,491,644.72/10,541.80
  6. Step 6: Final answer
    x = 8,678.94

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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.