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Finding the Fourth Proportional to 7,302.80, 10,956 and 2,109.08

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Solution

The fourth proportional to 7,302.80, 10,956 and 2,109.08 is: 3,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.80 : 10,956 = 2,109.08 : x
  2. Step 2: Convert to fraction form
    7,302.80/10,956 = 2,109.08/x
  3. Step 3: Cross multiply
    7,302.80x = 10,956 × 2,109.08
  4. Step 4: Simplify right side
    7,302.80x = 23,107,080.48
  5. Step 5: Solve for x
    x = 23,107,080.48/7,302.80
  6. Step 6: Final answer
    x = 3,164.14

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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.