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Finding the Fourth Proportional to 11,605.44, 16,007.04 and 7,357.80

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Solution

The fourth proportional to 11,605.44, 16,007.04 and 7,357.80 is: 10,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.44 : 16,007.04 = 7,357.80 : x
  2. Step 2: Convert to fraction form
    11,605.44/16,007.04 = 7,357.80/x
  3. Step 3: Cross multiply
    11,605.44x = 16,007.04 × 7,357.80
  4. Step 4: Simplify right side
    11,605.44x = 117,776,598.91
  5. Step 5: Solve for x
    x = 117,776,598.91/11,605.44
  6. Step 6: Final answer
    x = 10,148.40

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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.