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Finding the Fourth Proportional to 7,140.40, 10,711.64 and 2,210.48

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Solution

The fourth proportional to 7,140.40, 10,711.64 and 2,210.48 is: 3,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.40 : 10,711.64 = 2,210.48 : x
  2. Step 2: Convert to fraction form
    7,140.40/10,711.64 = 2,210.48/x
  3. Step 3: Cross multiply
    7,140.40x = 10,711.64 × 2,210.48
  4. Step 4: Simplify right side
    7,140.40x = 23,677,865.99
  5. Step 5: Solve for x
    x = 23,677,865.99/7,140.40
  6. Step 6: Final answer
    x = 3,316.04

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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.