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Finding the Fourth Proportional to 7,140.84, 10,715.69 and 3,443.45

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Solution

The fourth proportional to 7,140.84, 10,715.69 and 3,443.45 is: 5,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.84 : 10,715.69 = 3,443.45 : x
  2. Step 2: Convert to fraction form
    7,140.84/10,715.69 = 3,443.45/x
  3. Step 3: Cross multiply
    7,140.84x = 10,715.69 × 3,443.45
  4. Step 4: Simplify right side
    7,140.84x = 36,898,871.93
  5. Step 5: Solve for x
    x = 36,898,871.93/7,140.84
  6. Step 6: Final answer
    x = 5,167.30

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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.