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Finding the Fourth Proportional to 10,415.90, 14,373.59 and 5,941.10

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Solution

The fourth proportional to 10,415.90, 14,373.59 and 5,941.10 is: 8,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.90 : 14,373.59 = 5,941.10 : x
  2. Step 2: Convert to fraction form
    10,415.90/14,373.59 = 5,941.10/x
  3. Step 3: Cross multiply
    10,415.90x = 14,373.59 × 5,941.10
  4. Step 4: Simplify right side
    10,415.90x = 85,394,935.55
  5. Step 5: Solve for x
    x = 85,394,935.55/10,415.90
  6. Step 6: Final answer
    x = 8,198.52

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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.