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Finding the Fourth Proportional to 10,423.82, 14,386.55 and 5,949.05

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Solution

The fourth proportional to 10,423.82, 14,386.55 and 5,949.05 is: 8,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.82 : 14,386.55 = 5,949.05 : x
  2. Step 2: Convert to fraction form
    10,423.82/14,386.55 = 5,949.05/x
  3. Step 3: Cross multiply
    10,423.82x = 14,386.55 × 5,949.05
  4. Step 4: Simplify right side
    10,423.82x = 85,586,203.60
  5. Step 5: Solve for x
    x = 85,586,203.60/10,423.82
  6. Step 6: Final answer
    x = 8,210.64

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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.