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Finding the Fourth Proportional to 6,526.85, 9,011.74 and 4,012.33

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Solution

The fourth proportional to 6,526.85, 9,011.74 and 4,012.33 is: 5,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.85 : 9,011.74 = 4,012.33 : x
  2. Step 2: Convert to fraction form
    6,526.85/9,011.74 = 4,012.33/x
  3. Step 3: Cross multiply
    6,526.85x = 9,011.74 × 4,012.33
  4. Step 4: Simplify right side
    6,526.85x = 36,158,077.22
  5. Step 5: Solve for x
    x = 36,158,077.22/6,526.85
  6. Step 6: Final answer
    x = 5,539.90

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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.