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Finding the Fourth Proportional to 8,436.98, 11,648 and 5,788.28

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Solution

The fourth proportional to 8,436.98, 11,648 and 5,788.28 is: 7,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.98 : 11,648 = 5,788.28 : x
  2. Step 2: Convert to fraction form
    8,436.98/11,648 = 5,788.28/x
  3. Step 3: Cross multiply
    8,436.98x = 11,648 × 5,788.28
  4. Step 4: Simplify right side
    8,436.98x = 67,421,827.20
  5. Step 5: Solve for x
    x = 67,421,827.20/8,436.98
  6. Step 6: Final answer
    x = 7,991.23

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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.