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Finding the Fourth Proportional to 10,541.70, 14,548.50 and 5,827.50

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Solution

The fourth proportional to 10,541.70, 14,548.50 and 5,827.50 is: 8,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.70 : 14,548.50 = 5,827.50 : x
  2. Step 2: Convert to fraction form
    10,541.70/14,548.50 = 5,827.50/x
  3. Step 3: Cross multiply
    10,541.70x = 14,548.50 × 5,827.50
  4. Step 4: Simplify right side
    10,541.70x = 84,781,383.75
  5. Step 5: Solve for x
    x = 84,781,383.75/10,541.70
  6. Step 6: Final answer
    x = 8,042.48

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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.