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Finding the Fourth Proportional to 10,424.01, 14,383.84 and 8,304.93

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Solution

The fourth proportional to 10,424.01, 14,383.84 and 8,304.93 is: 11,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.01 : 14,383.84 = 8,304.93 : x
  2. Step 2: Convert to fraction form
    10,424.01/14,383.84 = 8,304.93/x
  3. Step 3: Cross multiply
    10,424.01x = 14,383.84 × 8,304.93
  4. Step 4: Simplify right side
    10,424.01x = 119,456,784.33
  5. Step 5: Solve for x
    x = 119,456,784.33/10,424.01
  6. Step 6: Final answer
    x = 11,459.77

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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.