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Finding the Fourth Proportional to 11,132.16, 15,362.64 and 6,416.88

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Solution

The fourth proportional to 11,132.16, 15,362.64 and 6,416.88 is: 8,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.16 : 15,362.64 = 6,416.88 : x
  2. Step 2: Convert to fraction form
    11,132.16/15,362.64 = 6,416.88/x
  3. Step 3: Cross multiply
    11,132.16x = 15,362.64 × 6,416.88
  4. Step 4: Simplify right side
    11,132.16x = 98,580,217.36
  5. Step 5: Solve for x
    x = 98,580,217.36/11,132.16
  6. Step 6: Final answer
    x = 8,855.44

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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.