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Finding the Fourth Proportional to 7,575.46, 11,360.52 and 2,896.78

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Solution

The fourth proportional to 7,575.46, 11,360.52 and 2,896.78 is: 4,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.46 : 11,360.52 = 2,896.78 : x
  2. Step 2: Convert to fraction form
    7,575.46/11,360.52 = 2,896.78/x
  3. Step 3: Cross multiply
    7,575.46x = 11,360.52 × 2,896.78
  4. Step 4: Simplify right side
    7,575.46x = 32,908,927.13
  5. Step 5: Solve for x
    x = 32,908,927.13/7,575.46
  6. Step 6: Final answer
    x = 4,344.15

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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.