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Finding the Fourth Proportional to 10,520.66, 14,525.85 and 6,543.56

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Solution

The fourth proportional to 10,520.66, 14,525.85 and 6,543.56 is: 9,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.66 : 14,525.85 = 6,543.56 : x
  2. Step 2: Convert to fraction form
    10,520.66/14,525.85 = 6,543.56/x
  3. Step 3: Cross multiply
    10,520.66x = 14,525.85 × 6,543.56
  4. Step 4: Simplify right side
    10,520.66x = 95,050,771.03
  5. Step 5: Solve for x
    x = 95,050,771.03/10,520.66
  6. Step 6: Final answer
    x = 9,034.68

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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.