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Finding the Fourth Proportional to 10,408.04, 14,329.80 and 8,425.16

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Solution

The fourth proportional to 10,408.04, 14,329.80 and 8,425.16 is: 11,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.04 : 14,329.80 = 8,425.16 : x
  2. Step 2: Convert to fraction form
    10,408.04/14,329.80 = 8,425.16/x
  3. Step 3: Cross multiply
    10,408.04x = 14,329.80 × 8,425.16
  4. Step 4: Simplify right side
    10,408.04x = 120,730,857.77
  5. Step 5: Solve for x
    x = 120,730,857.77/10,408.04
  6. Step 6: Final answer
    x = 11,599.77

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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.