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Finding the Fourth Proportional to 11,355.66, 15,674.85 and 6,577.74

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Solution

The fourth proportional to 11,355.66, 15,674.85 and 6,577.74 is: 9,079.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.66 : 15,674.85 = 6,577.74 : x
  2. Step 2: Convert to fraction form
    11,355.66/15,674.85 = 6,577.74/x
  3. Step 3: Cross multiply
    11,355.66x = 15,674.85 × 6,577.74
  4. Step 4: Simplify right side
    11,355.66x = 103,105,087.84
  5. Step 5: Solve for x
    x = 103,105,087.84/11,355.66
  6. Step 6: Final answer
    x = 9,079.62

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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.