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Finding the Fourth Proportional to 11,452.42, 15,804.14 and 6,416.62

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Solution

The fourth proportional to 11,452.42, 15,804.14 and 6,416.62 is: 8,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.42 : 15,804.14 = 6,416.62 : x
  2. Step 2: Convert to fraction form
    11,452.42/15,804.14 = 6,416.62/x
  3. Step 3: Cross multiply
    11,452.42x = 15,804.14 × 6,416.62
  4. Step 4: Simplify right side
    11,452.42x = 101,409,160.81
  5. Step 5: Solve for x
    x = 101,409,160.81/11,452.42
  6. Step 6: Final answer
    x = 8,854.82

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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.