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Finding the Fourth Proportional to 10,411.67, 14,368.07 and 5,631.62

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Solution

The fourth proportional to 10,411.67, 14,368.07 and 5,631.62 is: 7,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.67 : 14,368.07 = 5,631.62 : x
  2. Step 2: Convert to fraction form
    10,411.67/14,368.07 = 5,631.62/x
  3. Step 3: Cross multiply
    10,411.67x = 14,368.07 × 5,631.62
  4. Step 4: Simplify right side
    10,411.67x = 80,915,461.34
  5. Step 5: Solve for x
    x = 80,915,461.34/10,411.67
  6. Step 6: Final answer
    x = 7,771.61

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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.