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Finding the Fourth Proportional to 6,986.66, 10,474.52 and 4,384.13

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Solution

The fourth proportional to 6,986.66, 10,474.52 and 4,384.13 is: 6,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.66 : 10,474.52 = 4,384.13 : x
  2. Step 2: Convert to fraction form
    6,986.66/10,474.52 = 4,384.13/x
  3. Step 3: Cross multiply
    6,986.66x = 10,474.52 × 4,384.13
  4. Step 4: Simplify right side
    6,986.66x = 45,921,583.07
  5. Step 5: Solve for x
    x = 45,921,583.07/6,986.66
  6. Step 6: Final answer
    x = 6,572.76

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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.