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Finding the Fourth Proportional to 7,141.34, 10,713.53 and 2,210.87

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Solution

The fourth proportional to 7,141.34, 10,713.53 and 2,210.87 is: 3,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.34 : 10,713.53 = 2,210.87 : x
  2. Step 2: Convert to fraction form
    7,141.34/10,713.53 = 2,210.87/x
  3. Step 3: Cross multiply
    7,141.34x = 10,713.53 × 2,210.87
  4. Step 4: Simplify right side
    7,141.34x = 23,686,222.07
  5. Step 5: Solve for x
    x = 23,686,222.07/7,141.34
  6. Step 6: Final answer
    x = 3,316.78

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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.