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Finding the Fourth Proportional to 11,891.08, 16,409.82 and 6,586

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Solution

The fourth proportional to 11,891.08, 16,409.82 and 6,586 is: 9,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.08 : 16,409.82 = 6,586 : x
  2. Step 2: Convert to fraction form
    11,891.08/16,409.82 = 6,586/x
  3. Step 3: Cross multiply
    11,891.08x = 16,409.82 × 6,586
  4. Step 4: Simplify right side
    11,891.08x = 108,075,074.52
  5. Step 5: Solve for x
    x = 108,075,074.52/11,891.08
  6. Step 6: Final answer
    x = 9,088.75

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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.