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Finding the Fourth Proportional to 7,574.46, 11,359.02 and 2,895.78

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Solution

The fourth proportional to 7,574.46, 11,359.02 and 2,895.78 is: 4,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.46 : 11,359.02 = 2,895.78 : x
  2. Step 2: Convert to fraction form
    7,574.46/11,359.02 = 2,895.78/x
  3. Step 3: Cross multiply
    7,574.46x = 11,359.02 × 2,895.78
  4. Step 4: Simplify right side
    7,574.46x = 32,893,222.94
  5. Step 5: Solve for x
    x = 32,893,222.94/7,574.46
  6. Step 6: Final answer
    x = 4,342.65

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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.