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Finding the Fourth Proportional to 7,828.04, 11,742.06 and 3,666.80

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Solution

The fourth proportional to 7,828.04, 11,742.06 and 3,666.80 is: 5,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.04 : 11,742.06 = 3,666.80 : x
  2. Step 2: Convert to fraction form
    7,828.04/11,742.06 = 3,666.80/x
  3. Step 3: Cross multiply
    7,828.04x = 11,742.06 × 3,666.80
  4. Step 4: Simplify right side
    7,828.04x = 43,055,785.61
  5. Step 5: Solve for x
    x = 43,055,785.61/7,828.04
  6. Step 6: Final answer
    x = 5,500.20

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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.