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Finding the Fourth Proportional to 11,874.04, 16,387.72 and 6,838.46

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Solution

The fourth proportional to 11,874.04, 16,387.72 and 6,838.46 is: 9,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.04 : 16,387.72 = 6,838.46 : x
  2. Step 2: Convert to fraction form
    11,874.04/16,387.72 = 6,838.46/x
  3. Step 3: Cross multiply
    11,874.04x = 16,387.72 × 6,838.46
  4. Step 4: Simplify right side
    11,874.04x = 112,066,767.71
  5. Step 5: Solve for x
    x = 112,066,767.71/11,874.04
  6. Step 6: Final answer
    x = 9,437.96

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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.