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Finding the Fourth Proportional to 10,509.14, 14,508.42 and 7,673.66

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Solution

The fourth proportional to 10,509.14, 14,508.42 and 7,673.66 is: 10,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.14 : 14,508.42 = 7,673.66 : x
  2. Step 2: Convert to fraction form
    10,509.14/14,508.42 = 7,673.66/x
  3. Step 3: Cross multiply
    10,509.14x = 14,508.42 × 7,673.66
  4. Step 4: Simplify right side
    10,509.14x = 111,332,682.22
  5. Step 5: Solve for x
    x = 111,332,682.22/10,509.14
  6. Step 6: Final answer
    x = 10,593.89

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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.