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Finding the Fourth Proportional to 7,006.53, 10,509.81 and 1,812

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Solution

The fourth proportional to 7,006.53, 10,509.81 and 1,812 is: 2,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.53 : 10,509.81 = 1,812 : x
  2. Step 2: Convert to fraction form
    7,006.53/10,509.81 = 1,812/x
  3. Step 3: Cross multiply
    7,006.53x = 10,509.81 × 1,812
  4. Step 4: Simplify right side
    7,006.53x = 19,043,775.72
  5. Step 5: Solve for x
    x = 19,043,775.72/7,006.53
  6. Step 6: Final answer
    x = 2,718.00

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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.