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Finding the Fourth Proportional to 7,454.52, 11,178.72 and 2,774.84

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Solution

The fourth proportional to 7,454.52, 11,178.72 and 2,774.84 is: 4,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.52 : 11,178.72 = 2,774.84 : x
  2. Step 2: Convert to fraction form
    7,454.52/11,178.72 = 2,774.84/x
  3. Step 3: Cross multiply
    7,454.52x = 11,178.72 × 2,774.84
  4. Step 4: Simplify right side
    7,454.52x = 31,019,159.40
  5. Step 5: Solve for x
    x = 31,019,159.40/7,454.52
  6. Step 6: Final answer
    x = 4,161.12

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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.