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Finding the Fourth Proportional to 11,452.10, 15,804.90 and 6,416.24

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Solution

The fourth proportional to 11,452.10, 15,804.90 and 6,416.24 is: 8,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.10 : 15,804.90 = 6,416.24 : x
  2. Step 2: Convert to fraction form
    11,452.10/15,804.90 = 6,416.24/x
  3. Step 3: Cross multiply
    11,452.10x = 15,804.90 × 6,416.24
  4. Step 4: Simplify right side
    11,452.10x = 101,408,031.58
  5. Step 5: Solve for x
    x = 101,408,031.58/11,452.10
  6. Step 6: Final answer
    x = 8,854.97

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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.