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Finding the Fourth Proportional to 10,423.58, 14,383.23 and 8,304.49

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Solution

The fourth proportional to 10,423.58, 14,383.23 and 8,304.49 is: 11,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.58 : 14,383.23 = 8,304.49 : x
  2. Step 2: Convert to fraction form
    10,423.58/14,383.23 = 8,304.49/x
  3. Step 3: Cross multiply
    10,423.58x = 14,383.23 × 8,304.49
  4. Step 4: Simplify right side
    10,423.58x = 119,445,322.60
  5. Step 5: Solve for x
    x = 119,445,322.60/10,423.58
  6. Step 6: Final answer
    x = 11,459.14

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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.