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Finding the Fourth Proportional to 7,006.84, 10,507.61 and 2,563.04

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Solution

The fourth proportional to 7,006.84, 10,507.61 and 2,563.04 is: 3,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.84 : 10,507.61 = 2,563.04 : x
  2. Step 2: Convert to fraction form
    7,006.84/10,507.61 = 2,563.04/x
  3. Step 3: Cross multiply
    7,006.84x = 10,507.61 × 2,563.04
  4. Step 4: Simplify right side
    7,006.84x = 26,931,457.41
  5. Step 5: Solve for x
    x = 26,931,457.41/7,006.84
  6. Step 6: Final answer
    x = 3,843.60

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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.