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Finding the Fourth Proportional to 7,574.40, 11,362.24 and 2,381.76

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Solution

The fourth proportional to 7,574.40, 11,362.24 and 2,381.76 is: 3,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.40 : 11,362.24 = 2,381.76 : x
  2. Step 2: Convert to fraction form
    7,574.40/11,362.24 = 2,381.76/x
  3. Step 3: Cross multiply
    7,574.40x = 11,362.24 × 2,381.76
  4. Step 4: Simplify right side
    7,574.40x = 27,062,128.74
  5. Step 5: Solve for x
    x = 27,062,128.74/7,574.40
  6. Step 6: Final answer
    x = 3,572.84

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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.