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Finding the Fourth Proportional to 7,574.68, 11,354.32 and 2,893.42

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Solution

The fourth proportional to 7,574.68, 11,354.32 and 2,893.42 is: 4,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.68 : 11,354.32 = 2,893.42 : x
  2. Step 2: Convert to fraction form
    7,574.68/11,354.32 = 2,893.42/x
  3. Step 3: Cross multiply
    7,574.68x = 11,354.32 × 2,893.42
  4. Step 4: Simplify right side
    7,574.68x = 32,852,816.57
  5. Step 5: Solve for x
    x = 32,852,816.57/7,574.68
  6. Step 6: Final answer
    x = 4,337.19

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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.