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Finding the Fourth Proportional to 11,574.12, 17,362.14 and 3,782.76

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Solution

The fourth proportional to 11,574.12, 17,362.14 and 3,782.76 is: 5,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.12 : 17,362.14 = 3,782.76 : x
  2. Step 2: Convert to fraction form
    11,574.12/17,362.14 = 3,782.76/x
  3. Step 3: Cross multiply
    11,574.12x = 17,362.14 × 3,782.76
  4. Step 4: Simplify right side
    11,574.12x = 65,676,808.71
  5. Step 5: Solve for x
    x = 65,676,808.71/11,574.12
  6. Step 6: Final answer
    x = 5,674.45

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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.