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Finding the Fourth Proportional to 7,458.68, 11,188.52 and 2,526.63

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Solution

The fourth proportional to 7,458.68, 11,188.52 and 2,526.63 is: 3,790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.68 : 11,188.52 = 2,526.63 : x
  2. Step 2: Convert to fraction form
    7,458.68/11,188.52 = 2,526.63/x
  3. Step 3: Cross multiply
    7,458.68x = 11,188.52 × 2,526.63
  4. Step 4: Simplify right side
    7,458.68x = 28,269,237.65
  5. Step 5: Solve for x
    x = 28,269,237.65/7,458.68
  6. Step 6: Final answer
    x = 3,790.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.