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Finding the Fourth Proportional to 7,140.89, 10,711.64 and 2,210.63

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Solution

The fourth proportional to 7,140.89, 10,711.64 and 2,210.63 is: 3,316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.89 : 10,711.64 = 2,210.63 : x
  2. Step 2: Convert to fraction form
    7,140.89/10,711.64 = 2,210.63/x
  3. Step 3: Cross multiply
    7,140.89x = 10,711.64 × 2,210.63
  4. Step 4: Simplify right side
    7,140.89x = 23,679,408.12
  5. Step 5: Solve for x
    x = 23,679,408.12/7,140.89
  6. Step 6: Final answer
    x = 3,316.03

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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.