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Finding the Fourth Proportional to 11,708.34, 17,562.54 and 4,782.84

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Solution

The fourth proportional to 11,708.34, 17,562.54 and 4,782.84 is: 7,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.34 : 17,562.54 = 4,782.84 : x
  2. Step 2: Convert to fraction form
    11,708.34/17,562.54 = 4,782.84/x
  3. Step 3: Cross multiply
    11,708.34x = 17,562.54 × 4,782.84
  4. Step 4: Simplify right side
    11,708.34x = 83,998,818.81
  5. Step 5: Solve for x
    x = 83,998,818.81/11,708.34
  6. Step 6: Final answer
    x = 7,174.27

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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.