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Finding the Fourth Proportional to 10,555.72, 14,567.10 and 5,840.44

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Solution

The fourth proportional to 10,555.72, 14,567.10 and 5,840.44 is: 8,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.72 : 14,567.10 = 5,840.44 : x
  2. Step 2: Convert to fraction form
    10,555.72/14,567.10 = 5,840.44/x
  3. Step 3: Cross multiply
    10,555.72x = 14,567.10 × 5,840.44
  4. Step 4: Simplify right side
    10,555.72x = 85,078,273.52
  5. Step 5: Solve for x
    x = 85,078,273.52/10,555.72
  6. Step 6: Final answer
    x = 8,059.92

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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.