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Finding the Fourth Proportional to 7,574.40, 11,378.16 and 5,397.12

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Solution

The fourth proportional to 7,574.40, 11,378.16 and 5,397.12 is: 8,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.40 : 11,378.16 = 5,397.12 : x
  2. Step 2: Convert to fraction form
    7,574.40/11,378.16 = 5,397.12/x
  3. Step 3: Cross multiply
    7,574.40x = 11,378.16 × 5,397.12
  4. Step 4: Simplify right side
    7,574.40x = 61,409,294.90
  5. Step 5: Solve for x
    x = 61,409,294.90/7,574.40
  6. Step 6: Final answer
    x = 8,107.48

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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.