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Finding the Fourth Proportional to 11,451.49, 15,803.85 and 6,416.14

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Solution

The fourth proportional to 11,451.49, 15,803.85 and 6,416.14 is: 8,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.49 : 15,803.85 = 6,416.14 : x
  2. Step 2: Convert to fraction form
    11,451.49/15,803.85 = 6,416.14/x
  3. Step 3: Cross multiply
    11,451.49x = 15,803.85 × 6,416.14
  4. Step 4: Simplify right side
    11,451.49x = 101,399,714.14
  5. Step 5: Solve for x
    x = 101,399,714.14/11,451.49
  6. Step 6: Final answer
    x = 8,854.72

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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.