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Finding the Fourth Proportional to 7,534.68, 11,302.13 and 2,853.44

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Solution

The fourth proportional to 7,534.68, 11,302.13 and 2,853.44 is: 4,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.68 : 11,302.13 = 2,853.44 : x
  2. Step 2: Convert to fraction form
    7,534.68/11,302.13 = 2,853.44/x
  3. Step 3: Cross multiply
    7,534.68x = 11,302.13 × 2,853.44
  4. Step 4: Simplify right side
    7,534.68x = 32,249,949.83
  5. Step 5: Solve for x
    x = 32,249,949.83/7,534.68
  6. Step 6: Final answer
    x = 4,280.20

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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.