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Finding the Fourth Proportional to 11,102.16, 15,321.72 and 6,387.60

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Solution

The fourth proportional to 11,102.16, 15,321.72 and 6,387.60 is: 8,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.16 : 15,321.72 = 6,387.60 : x
  2. Step 2: Convert to fraction form
    11,102.16/15,321.72 = 6,387.60/x
  3. Step 3: Cross multiply
    11,102.16x = 15,321.72 × 6,387.60
  4. Step 4: Simplify right side
    11,102.16x = 97,869,018.67
  5. Step 5: Solve for x
    x = 97,869,018.67/11,102.16
  6. Step 6: Final answer
    x = 8,815.31

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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.