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Finding the Fourth Proportional to 11,205.16, 16,807.90 and 4,631.40

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Solution

The fourth proportional to 11,205.16, 16,807.90 and 4,631.40 is: 6,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.16 : 16,807.90 = 4,631.40 : x
  2. Step 2: Convert to fraction form
    11,205.16/16,807.90 = 4,631.40/x
  3. Step 3: Cross multiply
    11,205.16x = 16,807.90 × 4,631.40
  4. Step 4: Simplify right side
    11,205.16x = 77,844,108.06
  5. Step 5: Solve for x
    x = 77,844,108.06/11,205.16
  6. Step 6: Final answer
    x = 6,947.17

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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.