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Finding the Fourth Proportional to 10,452.03, 14,423.86 and 5,736.32

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Solution

The fourth proportional to 10,452.03, 14,423.86 and 5,736.32 is: 7,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.03 : 14,423.86 = 5,736.32 : x
  2. Step 2: Convert to fraction form
    10,452.03/14,423.86 = 5,736.32/x
  3. Step 3: Cross multiply
    10,452.03x = 14,423.86 × 5,736.32
  4. Step 4: Simplify right side
    10,452.03x = 82,739,775.79
  5. Step 5: Solve for x
    x = 82,739,775.79/10,452.03
  6. Step 6: Final answer
    x = 7,916.14

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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.