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Finding the Fourth Proportional to 11,452.12, 15,803.80 and 6,416.80

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Solution

The fourth proportional to 11,452.12, 15,803.80 and 6,416.80 is: 8,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.12 : 15,803.80 = 6,416.80 : x
  2. Step 2: Convert to fraction form
    11,452.12/15,803.80 = 6,416.80/x
  3. Step 3: Cross multiply
    11,452.12x = 15,803.80 × 6,416.80
  4. Step 4: Simplify right side
    11,452.12x = 101,409,823.84
  5. Step 5: Solve for x
    x = 101,409,823.84/11,452.12
  6. Step 6: Final answer
    x = 8,855.11

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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.