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Finding the Fourth Proportional to 10,541.62, 14,548.98 and 6,349.78

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Solution

The fourth proportional to 10,541.62, 14,548.98 and 6,349.78 is: 8,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.62 : 14,548.98 = 6,349.78 : x
  2. Step 2: Convert to fraction form
    10,541.62/14,548.98 = 6,349.78/x
  3. Step 3: Cross multiply
    10,541.62x = 14,548.98 × 6,349.78
  4. Step 4: Simplify right side
    10,541.62x = 92,382,822.22
  5. Step 5: Solve for x
    x = 92,382,822.22/10,541.62
  6. Step 6: Final answer
    x = 8,763.63

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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.