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Finding the Fourth Proportional to 11,809.71, 17,714.16 and 4,411.98

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Solution

The fourth proportional to 11,809.71, 17,714.16 and 4,411.98 is: 6,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.71 : 17,714.16 = 4,411.98 : x
  2. Step 2: Convert to fraction form
    11,809.71/17,714.16 = 4,411.98/x
  3. Step 3: Cross multiply
    11,809.71x = 17,714.16 × 4,411.98
  4. Step 4: Simplify right side
    11,809.71x = 78,154,519.64
  5. Step 5: Solve for x
    x = 78,154,519.64/11,809.71
  6. Step 6: Final answer
    x = 6,617.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.