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Finding the Fourth Proportional to 7,350.76, 11,026.14 and 3,657.61

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Solution

The fourth proportional to 7,350.76, 11,026.14 and 3,657.61 is: 5,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.76 : 11,026.14 = 3,657.61 : x
  2. Step 2: Convert to fraction form
    7,350.76/11,026.14 = 3,657.61/x
  3. Step 3: Cross multiply
    7,350.76x = 11,026.14 × 3,657.61
  4. Step 4: Simplify right side
    7,350.76x = 40,329,319.93
  5. Step 5: Solve for x
    x = 40,329,319.93/7,350.76
  6. Step 6: Final answer
    x = 5,486.42

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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.