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Finding the Fourth Proportional to 7,470.32, 11,212.41 and 3,775.15

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Solution

The fourth proportional to 7,470.32, 11,212.41 and 3,775.15 is: 5,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.32 : 11,212.41 = 3,775.15 : x
  2. Step 2: Convert to fraction form
    7,470.32/11,212.41 = 3,775.15/x
  3. Step 3: Cross multiply
    7,470.32x = 11,212.41 × 3,775.15
  4. Step 4: Simplify right side
    7,470.32x = 42,328,529.61
  5. Step 5: Solve for x
    x = 42,328,529.61/7,470.32
  6. Step 6: Final answer
    x = 5,666.23

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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.