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Finding the Fourth Proportional to 7,039.64, 10,561 and 2,657.12

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Solution

The fourth proportional to 7,039.64, 10,561 and 2,657.12 is: 3,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.64 : 10,561 = 2,657.12 : x
  2. Step 2: Convert to fraction form
    7,039.64/10,561 = 2,657.12/x
  3. Step 3: Cross multiply
    7,039.64x = 10,561 × 2,657.12
  4. Step 4: Simplify right side
    7,039.64x = 28,061,844.32
  5. Step 5: Solve for x
    x = 28,061,844.32/7,039.64
  6. Step 6: Final answer
    x = 3,986.26

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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.