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Finding the Fourth Proportional to 11,386.98, 17,082.77 and 4,813.16

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Solution

The fourth proportional to 11,386.98, 17,082.77 and 4,813.16 is: 7,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.98 : 17,082.77 = 4,813.16 : x
  2. Step 2: Convert to fraction form
    11,386.98/17,082.77 = 4,813.16/x
  3. Step 3: Cross multiply
    11,386.98x = 17,082.77 × 4,813.16
  4. Step 4: Simplify right side
    11,386.98x = 82,221,995.77
  5. Step 5: Solve for x
    x = 82,221,995.77/11,386.98
  6. Step 6: Final answer
    x = 7,220.70

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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.