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Finding the Fourth Proportional to 10,271.55, 14,174.93 and 6,025.66

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Solution

The fourth proportional to 10,271.55, 14,174.93 and 6,025.66 is: 8,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.55 : 14,174.93 = 6,025.66 : x
  2. Step 2: Convert to fraction form
    10,271.55/14,174.93 = 6,025.66/x
  3. Step 3: Cross multiply
    10,271.55x = 14,174.93 × 6,025.66
  4. Step 4: Simplify right side
    10,271.55x = 85,413,308.70
  5. Step 5: Solve for x
    x = 85,413,308.70/10,271.55
  6. Step 6: Final answer
    x = 8,315.52

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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.