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Finding the Fourth Proportional to 7,154.76, 10,732.14 and 2,224.71

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Solution

The fourth proportional to 7,154.76, 10,732.14 and 2,224.71 is: 3,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.76 : 10,732.14 = 2,224.71 : x
  2. Step 2: Convert to fraction form
    7,154.76/10,732.14 = 2,224.71/x
  3. Step 3: Cross multiply
    7,154.76x = 10,732.14 × 2,224.71
  4. Step 4: Simplify right side
    7,154.76x = 23,875,899.18
  5. Step 5: Solve for x
    x = 23,875,899.18/7,154.76
  6. Step 6: Final answer
    x = 3,337.07

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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.