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Finding the Fourth Proportional to 6,969.66, 10,466.71 and 5,411.42

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Solution

The fourth proportional to 6,969.66, 10,466.71 and 5,411.42 is: 8,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.66 : 10,466.71 = 5,411.42 : x
  2. Step 2: Convert to fraction form
    6,969.66/10,466.71 = 5,411.42/x
  3. Step 3: Cross multiply
    6,969.66x = 10,466.71 × 5,411.42
  4. Step 4: Simplify right side
    6,969.66x = 56,639,763.83
  5. Step 5: Solve for x
    x = 56,639,763.83/6,969.66
  6. Step 6: Final answer
    x = 8,126.62

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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.