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Finding the Fourth Proportional to 10,356.54, 14,297.91 and 6,825.90

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Solution

The fourth proportional to 10,356.54, 14,297.91 and 6,825.90 is: 9,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.54 : 14,297.91 = 6,825.90 : x
  2. Step 2: Convert to fraction form
    10,356.54/14,297.91 = 6,825.90/x
  3. Step 3: Cross multiply
    10,356.54x = 14,297.91 × 6,825.90
  4. Step 4: Simplify right side
    10,356.54x = 97,596,103.87
  5. Step 5: Solve for x
    x = 97,596,103.87/10,356.54
  6. Step 6: Final answer
    x = 9,423.62

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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.