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Finding the Fourth Proportional to 10,791.72, 14,890.50 and 6,597

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Solution

The fourth proportional to 10,791.72, 14,890.50 and 6,597 is: 9,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.72 : 14,890.50 = 6,597 : x
  2. Step 2: Convert to fraction form
    10,791.72/14,890.50 = 6,597/x
  3. Step 3: Cross multiply
    10,791.72x = 14,890.50 × 6,597
  4. Step 4: Simplify right side
    10,791.72x = 98,232,628.50
  5. Step 5: Solve for x
    x = 98,232,628.50/10,791.72
  6. Step 6: Final answer
    x = 9,102.59

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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.