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Finding the Fourth Proportional to 7,441.71, 11,154.76 and 2,509.63

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Solution

The fourth proportional to 7,441.71, 11,154.76 and 2,509.63 is: 3,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.71 : 11,154.76 = 2,509.63 : x
  2. Step 2: Convert to fraction form
    7,441.71/11,154.76 = 2,509.63/x
  3. Step 3: Cross multiply
    7,441.71x = 11,154.76 × 2,509.63
  4. Step 4: Simplify right side
    7,441.71x = 27,994,320.34
  5. Step 5: Solve for x
    x = 27,994,320.34/7,441.71
  6. Step 6: Final answer
    x = 3,761.81

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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.