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Finding the Fourth Proportional to 7,983.41, 11,017.05 and 4,626.16

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Solution

The fourth proportional to 7,983.41, 11,017.05 and 4,626.16 is: 6,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.41 : 11,017.05 = 4,626.16 : x
  2. Step 2: Convert to fraction form
    7,983.41/11,017.05 = 4,626.16/x
  3. Step 3: Cross multiply
    7,983.41x = 11,017.05 × 4,626.16
  4. Step 4: Simplify right side
    7,983.41x = 50,966,636.03
  5. Step 5: Solve for x
    x = 50,966,636.03/7,983.41
  6. Step 6: Final answer
    x = 6,384.07

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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.