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Finding the Fourth Proportional to 7,005.25, 10,510.89 and 2,622.16

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Solution

The fourth proportional to 7,005.25, 10,510.89 and 2,622.16 is: 3,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.25 : 10,510.89 = 2,622.16 : x
  2. Step 2: Convert to fraction form
    7,005.25/10,510.89 = 2,622.16/x
  3. Step 3: Cross multiply
    7,005.25x = 10,510.89 × 2,622.16
  4. Step 4: Simplify right side
    7,005.25x = 27,561,235.32
  5. Step 5: Solve for x
    x = 27,561,235.32/7,005.25
  6. Step 6: Final answer
    x = 3,934.37

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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.