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Finding the Fourth Proportional to 7,005.80, 9,668.46 and 4,022.60

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Solution

The fourth proportional to 7,005.80, 9,668.46 and 4,022.60 is: 5,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.80 : 9,668.46 = 4,022.60 : x
  2. Step 2: Convert to fraction form
    7,005.80/9,668.46 = 4,022.60/x
  3. Step 3: Cross multiply
    7,005.80x = 9,668.46 × 4,022.60
  4. Step 4: Simplify right side
    7,005.80x = 38,892,347.20
  5. Step 5: Solve for x
    x = 38,892,347.20/7,005.80
  6. Step 6: Final answer
    x = 5,551.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.